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212023440 = 24335103953
BaseRepresentation
bin11001010001100…
…11100010010000
3112202221220111000
430220303202100
5413234222230
633012222000
75153112066
oct1450634220
9482856430
10212023440
11a9755392
125b00a900
1334c06b75
1420232036
1513931b60
hexca33890

212023440 has 160 divisors (see below), whose sum is σ = 738167040. Its totient is φ = 55931904.

The previous prime is 212023429. The next prime is 212023447. The reversal of 212023440 is 44320212.

212023440 is a `hidden beast` number, since 21 + 202 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212023447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222004 + ... + 222956.

It is an arithmetic number, because the mean of its divisors is an integer number (4613544).

Almost surely, 2212023440 is an apocalyptic number.

212023440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369083520).

212023440 is an abundant number, since it is smaller than the sum of its proper divisors (526143600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212023440 is a wasteful number, since it uses less digits than its factorization.

212023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 212023440 is about 14561.0246892174. The cubic root of 212023440 is about 596.2951708194.

Adding to 212023440 its reverse (44320212), we get a palindrome (256343652).

It can be divided in two parts, 21202 and 3440, that added together give a palindrome (24642).

The spelling of 212023440 in words is "two hundred twelve million, twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 103 108 120 135 144 180 206 216 240 270 309 360 412 432 515 540 618 720 824 927 953 1030 1080 1236 1545 1648 1854 1906 2060 2160 2472 2781 2859 3090 3708 3812 4120 4635 4765 4944 5562 5718 6180 7416 7624 8240 8577 9270 9530 11124 11436 12360 13905 14295 14832 15248 17154 18540 19060 22248 22872 24720 25731 27810 28590 34308 37080 38120 42885 44496 45744 51462 55620 57180 68616 74160 76240 85770 98159 102924 111240 114360 128655 137232 171540 196318 205848 222480 228720 257310 294477 343080 392636 411696 490795 514620 588954 686160 785272 883431 981590 1029240 1177908 1472385 1570544 1766862 1963180 2058480 2355816 2650293 2944770 3533724 3926360 4417155 4711632 5300586 5889540 7067448 7852720 8834310 10601172 11779080 13251465 14134896 17668620 21202344 23558160 26502930 35337240 42404688 53005860 70674480 106011720 212023440