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214944780 = 223579137331
BaseRepresentation
bin11001100111111…
…00110000001100
3112222110022210210
430303330300030
5420011213110
633155002420
75220000111
oct1463746014
9488408723
10214944780
11100370216
125bb99410
13356ba77b
1420792908
1513d0c520
hexccfcc0c

214944780 has 96 divisors (see below), whose sum is σ = 615767040. Its totient is φ = 56010240.

The previous prime is 214944773. The next prime is 214944791. The reversal of 214944780 is 87449412.

214944780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 649215 + ... + 649545.

It is an arithmetic number, because the mean of its divisors is an integer number (6414240).

Almost surely, 2214944780 is an apocalyptic number.

214944780 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 214944780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307883520).

214944780 is an abundant number, since it is smaller than the sum of its proper divisors (400822260).

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

214944780 is a wasteful number, since it uses less digits than its factorization.

214944780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 214944780 is about 14660.9951913231. The cubic root of 214944780 is about 599.0213490495.

The spelling of 214944780 in words is "two hundred fourteen million, nine hundred forty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 137 158 237 274 316 331 395 411 474 548 662 685 790 822 948 993 1185 1324 1370 1580 1644 1655 1986 2055 2370 2740 3310 3972 4110 4740 4965 6620 8220 9930 10823 19860 21646 26149 32469 43292 45347 52298 54115 64938 78447 90694 104596 108230 129876 130745 136041 156894 162345 181388 216460 226735 261490 272082 313788 324690 392235 453470 522980 544164 649380 680205 784470 906940 1360410 1568940 2720820 3582413 7164826 10747239 14329652 17912065 21494478 35824130 42988956 53736195 71648260 107472390 214944780