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23002133200 = 245266898597
BaseRepresentation
bin10101011011000010…
…001011001011010000
32012101001120102210021
4111123002023023100
5334102021230300
614322251313224
71443004622554
oct253302131320
965331512707
1023002133200
119834117142
12455b44b814
132227658107
141182cc5864
158e95d1d1a
hex55b08b2d0

23002133200 has 60 divisors (see below), whose sum is σ = 55277315820. Its totient is φ = 9198407680.

The previous prime is 23002133179. The next prime is 23002133221. The reversal of 23002133200 is 233120032.

It is an interprime number because it is at equal distance from previous prime (23002133179) and next prime (23002133221).

It can be written as a sum of positive squares in 6 ways, for example, as 512931904 + 22489201296 = 22648^2 + 149964^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 2671302 + ... + 2679898.

It is an arithmetic number, because the mean of its divisors is an integer number (921288597).

Almost surely, 223002133200 is an apocalyptic number.

23002133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23002133200 is an abundant number, since it is smaller than the sum of its proper divisors (32275182620).

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

23002133200 is a wasteful number, since it uses less digits than its factorization.

23002133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15304 (or 15293 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23002133200 its reverse (233120032), we get a palindrome (23235253232).

The spelling of 23002133200 in words is "twenty-three billion, two million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 6689 8597 13378 17194 26756 33445 34388 42985 53512 66890 68776 85970 107024 133780 137552 167225 171940 214925 267560 334450 343880 429850 535120 668900 687760 859700 1337800 1719400 2675600 3438800 57505333 115010666 230021332 287526665 460042664 575053330 920085328 1150106660 1437633325 2300213320 2875266650 4600426640 5750533300 11501066600 23002133200