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23196165120 = 210325503389
BaseRepresentation
bin10101100110100110…
…010110010000000000
32012212120200021112200
4111212212112100000
5340001204240440
614353422153200
71450552102362
oct254646262000
965776607480
1023196165120
1199236a31a7
1245b4422800
132258902abb
1411a0992d32
1590b65cc30
hex566996400

23196165120 has 132 divisors (see below), whose sum is σ = 80374267740. Its totient is φ = 6185631744.

The previous prime is 23196165089. The next prime is 23196165173. The reversal of 23196165120 is 2156169132.

23196165120 is a `hidden beast` number, since 2 + 3 + 19 + 616 + 5 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4112400384 + 19083764736 = 64128^2 + 138144^2 .

It is a super-2 number, since 2×231961651202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 205615 + ... + 297774.

Almost surely, 223196165120 is an apocalyptic number.

23196165120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23196165120 is an abundant number, since it is smaller than the sum of its proper divisors (57178102620).

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

23196165120 is a wasteful number, since it uses less digits than its factorization.

23196165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503420 (or 503399 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 23196165120 in words is "twenty-three billion, one hundred ninety-six million, one hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 503389 1006778 1510167 2013556 2516945 3020334 4027112 4530501 5033890 6040668 7550835 8054224 9061002 10067780 12081336 15101670 16108448 18122004 20135560 22652505 24162672 30203340 32216896 36244008 40271120 45305010 48325344 60406680 64433792 72488016 80542240 90610020 96650688 120813360 128867584 144976032 161084480 181220040 193301376 241626720 257735168 289952064 322168960 362440080 386602752 483253440 515470336 579904128 644337920 724880160 773205504 966506880 1159808256 1288675840 1449760320 1546411008 1933013760 2319616512 2577351680 2899520640 3866027520 4639233024 5799041280 7732055040 11598082560 23196165120