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23257204300 = 225211210318661
BaseRepresentation
bin10101101010001111…
…001100011001001100
32020000211112101120001
4111222033030121030
5340112321014200
614403442334044
71452222655231
oct255217143114
966024471501
1023257204300
1199550a3900
12461095a324
132268454a65
1411a8b21788
15911bb876a
hex56a3cc64c

23257204300 has 108 divisors (see below), whose sum is σ = 56014814128. Its totient is φ = 8374608000.

The previous prime is 23257204273. The next prime is 23257204303. The reversal of 23257204300 is 340275232.

It is not an unprimeable number, because it can be changed into a prime (23257204303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1236970 + ... + 1255630.

Almost surely, 223257204300 is an apocalyptic number.

23257204300 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 23257204300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28007407064).

23257204300 is an abundant number, since it is smaller than the sum of its proper divisors (32757609828).

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

23257204300 is a wasteful number, since it uses less digits than its factorization.

23257204300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18800 (or 18782 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

Adding to 23257204300 its reverse (340275232), we get a palindrome (23597479532).

The spelling of 23257204300 in words is "twenty-three billion, two hundred fifty-seven million, two hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 121 206 220 242 275 412 484 515 550 605 1030 1100 1133 1210 2060 2266 2420 2575 3025 4532 5150 5665 6050 10300 11330 12100 12463 18661 22660 24926 28325 37322 49852 56650 62315 74644 93305 113300 124630 186610 205271 249260 311575 373220 410542 466525 623150 821084 933050 1026355 1246300 1866100 1922083 2052710 2257981 3844166 4105420 4515962 5131775 7688332 9031924 9610415 10263550 11289905 19220830 20527100 21142913 22579810 38441660 42285826 45159620 48052075 56449525 84571652 96104150 105714565 112899050 192208300 211429130 225798100 232572043 422858260 465144086 528572825 930288172 1057145650 1162860215 2114291300 2325720430 4651440860 5814301075 11628602150 23257204300