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23032522400 = 2552139207127
BaseRepresentation
bin10101011100110110…
…000110011010100000
32012110011202100221012
4111130312012122200
5334132311204100
614325254520052
71443524132036
oct253466063240
965404670835
1023032522400
11984a292a88
124569666028
132230a382a4
141186d56556
158ec0d6135
hex55cd866a0

23032522400 has 72 divisors (see below), whose sum is σ = 56632937760. Its totient is φ = 9146684160.

The previous prime is 23032522343. The next prime is 23032522417. The reversal of 23032522400 is 422523032.

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, 7637 + ... + 214763.

It is an arithmetic number, because the mean of its divisors is an integer number (786568580).

Almost surely, 223032522400 is an apocalyptic number.

23032522400 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 23032522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28316468880).

23032522400 is an abundant number, since it is smaller than the sum of its proper divisors (33600415360).

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

23032522400 is a wasteful number, since it uses less digits than its factorization.

23032522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207286 (or 207273 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The spelling of 23032522400 in words is "twenty-three billion, thirty-two million, five hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 139 160 200 278 400 556 695 800 1112 1390 2224 2780 3475 4448 5560 6950 11120 13900 22240 27800 55600 111200 207127 414254 828508 1035635 1657016 2071270 3314032 4142540 5178175 6628064 8285080 10356350 16570160 20712700 28790653 33140320 41425400 57581306 82850800 115162612 143953265 165701600 230325224 287906530 460650448 575813060 719766325 921300896 1151626120 1439532650 2303252240 2879065300 4606504480 5758130600 11516261200 23032522400