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23341728400 = 245276392
BaseRepresentation
bin10101101111010001…
…101000001010010000
32020020201120122211021
4111233101220022100
5340300440302100
614420102125224
71454300263204
oct255721501220
966221518737
1023341728400
119998885031
124635120814
13227cb0a413
1411b6044b04
15919312a1a
hex56f468290

23341728400 has 45 divisors (see below), whose sum is σ = 56085844521. Its totient is φ = 9335469120.

The previous prime is 23341728341. The next prime is 23341728419. The reversal of 23341728400 is 482714332.

The square root of 23341728400 is 152780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8403022224 + 14938706176 = 91668^2 + 122224^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3051781 + ... + 3059419.

Almost surely, 223341728400 is an apocalyptic number.

23341728400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23341728400 is the 152780-th square number.

It is an amenable number.

23341728400 is an abundant number, since it is smaller than the sum of its proper divisors (32744116121).

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

23341728400 is an frugal number, since it uses more digits than its factorization.

23341728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15296 (or 7646 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 23341728400 in words is "twenty-three billion, three hundred forty-one million, seven hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 7639 15278 30556 38195 61112 76390 122224 152780 190975 305560 381950 611120 763900 1527800 3055600 58354321 116708642 233417284 291771605 466834568 583543210 933669136 1167086420 1458858025 2334172840 2917716050 4668345680 5835432100 11670864200 23341728400