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23400153252 = 22327248727239
BaseRepresentation
bin10101110010110000…
…100000000010100100
32020101210111221122200
4111302300200002210
5340410414401002
614425550254500
71455610010100
oct256260400244
966353457580
1023400153252
119a1885a533
1246507b7430
13228bc55438
1411bdad2900
1591e503b1c
hex572c200a4

23400153252 has 108 divisors (see below), whose sum is σ = 68951413440. Its totient is φ = 6671784672.

The previous prime is 23400153229. The next prime is 23400153311. The reversal of 23400153252 is 25235100432.

It is a happy number.

23400153252 is a `hidden beast` number, since 2 + 3 + 400 + 1 + 5 + 3 + 252 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 845449 + ... + 872687.

Almost surely, 223400153252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23400153252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34475706720).

23400153252 is an abundant number, since it is smaller than the sum of its proper divisors (45551260188).

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

23400153252 is a wasteful number, since it uses less digits than its factorization.

23400153252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27750 (or 27738 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 23400153252 its reverse (25235100432), we get a palindrome (48635253684).

The spelling of 23400153252 in words is "twenty-three billion, four hundred million, one hundred fifty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 487 588 882 974 1461 1764 1948 2922 3409 4383 5844 6818 8766 10227 13636 17532 20454 23863 27239 30681 40908 47726 54478 61362 71589 81717 95452 108956 122724 143178 163434 190673 214767 245151 286356 326868 381346 429534 490302 572019 762692 859068 980604 1144038 1334711 1716057 2288076 2669422 3432114 4004133 5338844 6864228 8008266 12012399 13265393 16016532 24024798 26530786 39796179 48049596 53061572 79592358 92857751 119388537 159184716 185715502 238777074 278573253 371431004 477554148 557146506 650004257 835719759 1114293012 1300008514 1671439518 1950012771 2600017028 3342879036 3900025542 5850038313 7800051084 11700076626 23400153252