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129988224 = 2732532129
BaseRepresentation
bin1111011111101…
…11011010000000
3100001121002022200
413233313122000
5231234110344
620522033200
73135611262
oct757673200
9301532280
10129988224
1167414093
1237648800
1320c13312
1413399b32
15b62a069
hex7bf7680

129988224 has 96 divisors (see below), whose sum is σ = 381291300. Its totient is φ = 42491904.

The previous prime is 129988223. The next prime is 129988267. The reversal of 129988224 is 422889921.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 129960000 + 28224 = 11400^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 129988224.

It is not an unprimeable number, because it can be changed into a prime (129988223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59992 + ... + 62120.

Almost surely, 2129988224 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 129988224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190645650).

129988224 is an abundant number, since it is smaller than the sum of its proper divisors (251303076).

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

129988224 is a wasteful number, since it uses less digits than its factorization.

129988224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2187 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 129988224 is about 11401.2378275343. The cubic root of 129988224 is about 506.5644053390.

The spelling of 129988224 in words is "one hundred twenty-nine million, nine hundred eighty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 288 318 384 424 477 576 636 848 954 1152 1272 1696 1908 2129 2544 3392 3816 4258 5088 6387 6784 7632 8516 10176 12774 15264 17032 19161 20352 25548 30528 34064 38322 51096 61056 68128 76644 102192 112837 136256 153288 204384 225674 272512 306576 338511 408768 451348 613152 677022 817536 902696 1015533 1226304 1354044 1805392 2031066 2452608 2708088 3610784 4062132 5416176 7221568 8124264 10832352 14443136 16248528 21664704 32497056 43329408 64994112 129988224