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23051347200 = 2833527171959
BaseRepresentation
bin10101011101111101…
…111010010100000000
32012111111011202201000
4111131331322110000
5334202121102300
614331210212000
71444143134610
oct253575722400
965444152630
1023051347200
119859980372
124573a24000
1322348c981b
141189656a40
158edaa3c00
hex55df7a500

23051347200 has 1728 divisors, whose sum is σ = 109492992000. Its totient is φ = 4618321920.

The previous prime is 23051347177. The next prime is 23051347213. The reversal of 23051347200 is 274315032.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 390700771 + ... + 390700829.

It is an arithmetic number, because the mean of its divisors is an integer number (63364000).

Almost surely, 223051347200 is an apocalyptic number.

23051347200 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 23051347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54746496000).

23051347200 is an abundant number, since it is smaller than the sum of its proper divisors (86441644800).

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

23051347200 is a wasteful number, since it uses less digits than its factorization.

23051347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 23051347200 in words is "twenty-three billion, fifty-one million, three hundred forty-seven thousand, two hundred".