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23023023200 = 2552127922501
BaseRepresentation
bin10101011100010001…
…110111010001100000
32012102111212202110222
4111130101313101200
5334122343220300
614324315142212
71443350316422
oct253421672140
965374782428
1023023023200
119844995101
124566444968
13222ba90668
1411859a2812
158eb35b785
hex55c477460

23023023200 has 72 divisors (see below), whose sum is σ = 56251399680. Its totient is φ = 9201600000.

The previous prime is 23023023181. The next prime is 23023023209. The reversal of 23023023200 is 232032032.

It is a super-3 number, since 3×230230232003 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23023023209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1011950 + ... + 1034450.

It is an arithmetic number, because the mean of its divisors is an integer number (781269440).

Almost surely, 223023023200 is an apocalyptic number.

23023023200 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 23023023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28125699840).

23023023200 is an abundant number, since it is smaller than the sum of its proper divisors (33228376480).

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

23023023200 is a wasteful number, since it uses less digits than its factorization.

23023023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23800 (or 23787 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

Adding to 23023023200 its reverse (232032032), we get a palindrome (23255055232).

The spelling of 23023023200 in words is "twenty-three billion, twenty-three million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1279 2558 5116 6395 10232 12790 20464 22501 25580 31975 40928 45002 51160 63950 90004 102320 112505 127900 180008 204640 225010 255800 360016 450020 511600 562525 720032 900040 1023200 1125050 1800080 2250100 3600160 4500200 9000400 18000800 28778779 57557558 115115116 143893895 230230232 287787790 460460464 575575580 719469475 920920928 1151151160 1438938950 2302302320 2877877900 4604604640 5755755800 11511511600 23023023200