[go: up one dir, main page]

Search a number
-
+
2232330120 = 233256792551
BaseRepresentation
bin1000010100001110…
…1010011110001000
312202120112010020100
42011003222132020
514032434030440
61005302325400
7106214331036
oct20503523610
95676463210
102232330120
11a46101729
12523729860
132976410c7
14172695556
15d0ea6230
hex850ea788

2232330120 has 96 divisors (see below), whose sum is σ = 7363437120. Its totient is φ = 586396800.

The previous prime is 2232330103. The next prime is 2232330143. The reversal of 2232330120 is 210332322.

It is a happy number.

2232330120 is a `hidden beast` number, since 22 + 323 + 301 + 20 = 666.

It is a super-3 number, since 3×22323301203 (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2232330093 and 2232330102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22156 + ... + 70395.

It is an arithmetic number, because the mean of its divisors is an integer number (76702470).

Almost surely, 22232330120 is an apocalyptic number.

2232330120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232330120 is an abundant number, since it is smaller than the sum of its proper divisors (5131107000).

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

2232330120 is a wasteful number, since it uses less digits than its factorization.

2232330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92635 (or 92628 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2232330120 is about 47247.5408883891. The cubic root of 2232330120 is about 1306.9314421904.

Adding to 2232330120 its reverse (210332322), we get a palindrome (2442662442).

The spelling of 2232330120 in words is "two billion, two hundred thirty-two million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1340 1608 2010 2412 2680 3015 4020 4824 6030 8040 12060 24120 92551 185102 277653 370204 462755 555306 740408 832959 925510 1110612 1388265 1665918 1851020 2221224 2776530 3331836 3702040 4164795 5553060 6200917 6663672 8329590 11106120 12401834 16659180 18602751 24803668 31004585 33318360 37205502 49607336 55808253 62009170 74411004 93013755 111616506 124018340 148822008 186027510 223233012 248036680 279041265 372055020 446466024 558082530 744110040 1116165060 2232330120