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23042095200 = 2532523200291
BaseRepresentation
bin10101011101011010…
…100111100001100000
32012110211202201100100
4111131122213201200
5334142234021300
614330240022400
71444001402055
oct253532474140
965424681310
1023042095200
119854731193
124570901a00
132232a0a577
14118832902c
158ecd77700
hex55d6a7860

23042095200 has 108 divisors (see below), whose sum is σ = 81252213588. Its totient is φ = 6144556800.

The previous prime is 23042095157. The next prime is 23042095249. The reversal of 23042095200 is 259024032.

23042095200 is a `hidden beast` number, since 2 + 30 + 420 + 9 + 5 + 200 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1592946 + ... + 1607345.

It is an arithmetic number, because the mean of its divisors is an integer number (752335311).

Almost surely, 223042095200 is an apocalyptic number.

23042095200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23042095200 is an abundant number, since it is smaller than the sum of its proper divisors (58210118388).

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

23042095200 is a wasteful number, since it uses less digits than its factorization.

23042095200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200317 (or 3200301 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 23042095200 in words is "twenty-three billion, forty-two million, ninety-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 3200291 6400582 9600873 12801164 16001455 19201746 25602328 28802619 32002910 38403492 48004365 51204656 57605238 64005820 76806984 80007275 96008730 102409312 115210476 128011640 144013095 153613968 160014550 192017460 230420952 240021825 256023280 288026190 307227936 320029100 384034920 460841904 480043650 512046560 576052380 640058200 720065475 768069840 921683808 960087300 1152104760 1280116400 1440130950 1536139680 1920174600 2304209520 2560232800 2880261900 3840349200 4608419040 5760523800 7680698400 11521047600 23042095200