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23055214400 = 265290715887
BaseRepresentation
bin10101011110001100…
…101010011101000000
32012111202110020111122
4111132030222131000
5334204113330100
614331425131412
71444221042341
oct253614523500
965452406448
1023055214400
1198610818a9
124575189b68
132235651aca
141189d820c8
158ee0b9985
hex55e32a740

23055214400 has 84 divisors (see below), whose sum is σ = 56796358848. Its totient is φ = 9211338240.

The previous prime is 23055214387. The next prime is 23055214447. The reversal of 23055214400 is 441255032.

It is a happy number.

It is a super-2 number, since 2×230552144002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23055214400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1443257 + ... + 1459143.

Almost surely, 223055214400 is an apocalyptic number.

23055214400 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 23055214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28398179424).

23055214400 is an abundant number, since it is smaller than the sum of its proper divisors (33741144448).

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

23055214400 is a wasteful number, since it uses less digits than its factorization.

23055214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16816 (or 16801 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 23055214400 its reverse (441255032), we get a palindrome (23496469432).

The spelling of 23055214400 in words is "twenty-three billion, fifty-five million, two hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 907 1600 1814 3628 4535 7256 9070 14512 15887 18140 22675 29024 31774 36280 45350 58048 63548 72560 79435 90700 127096 145120 158870 181400 254192 290240 317740 362800 397175 508384 635480 725600 794350 1016768 1270960 1451200 1588700 2541920 3177400 5083840 6354800 12709600 14409509 25419200 28819018 57638036 72047545 115276072 144095090 230552144 288190180 360237725 461104288 576380360 720475450 922208576 1152760720 1440950900 2305521440 2881901800 4611042880 5763803600 11527607200 23055214400