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20152206660 = 22351074317283
BaseRepresentation
bin10010110001001010…
…100100010101000100
31221000102221011112110
4102301022210111010
5312232431103120
613131403421020
71312250634045
oct226112442504
957012834473
1020152206660
118601439153
123aa4b24770
131b9209a051
14d925c68cc
157ce2d42e0
hex4b12a4544

20152206660 has 96 divisors (see below), whose sum is σ = 57093507072. Its totient is φ = 5310616960.

The previous prime is 20152206649. The next prime is 20152206689. The reversal of 20152206660 is 6660225102.

It is a super-2 number, since 2×201522066602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 2763379 + ... + 2770661.

It is an arithmetic number, because the mean of its divisors is an integer number (594724032).

Almost surely, 220152206660 is an apocalyptic number.

20152206660 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 20152206660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28546753536).

20152206660 is an abundant number, since it is smaller than the sum of its proper divisors (36941300412).

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

20152206660 is a wasteful number, since it uses less digits than its factorization.

20152206660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7833 (or 7831 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 20152206660 in words is "twenty billion, one hundred fifty-two million, two hundred six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 431 535 642 862 1070 1284 1293 1605 1724 2140 2155 2586 3210 4310 5172 6420 6465 7283 8620 12930 14566 21849 25860 29132 36415 43698 46117 72830 87396 92234 109245 138351 145660 184468 218490 230585 276702 436980 461170 553404 691755 779281 922340 1383510 1558562 2337843 2767020 3117124 3138973 3896405 4675686 6277946 7792810 9351372 9416919 11689215 12555892 15585620 15694865 18833838 23378430 31389730 37667676 46756860 47084595 62779460 94169190 188338380 335870111 671740222 1007610333 1343480444 1679350555 2015220666 3358701110 4030441332 5038051665 6717402220 10076103330 20152206660