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244144264 = 237213232083
BaseRepresentation
bin11101000110101…
…01100010001000
3122000101210222011
432203111202020
51000000104024
640120505304
76023122600
oct1643254210
9560353864
10244144264
111158a4221
126991b234
133b772280
14245d3c00
1516679094
hexe8d5888

244144264 has 96 divisors (see below), whose sum is σ = 598691520. Its totient is φ = 92340864.

The previous prime is 244144253. The next prime is 244144289. The reversal of 244144264 is 462441442.

244144264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116167 + ... + 118249.

It is an arithmetic number, because the mean of its divisors is an integer number (6236370).

Almost surely, 2244144264 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 244144264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299345760).

244144264 is an abundant number, since it is smaller than the sum of its proper divisors (354547256).

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

244144264 is a wasteful number, since it uses less digits than its factorization.

244144264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2128 counting only the distinct ones).

The product of its digits is 24576, while the sum is 31.

The square root of 244144264 is about 15625.1164475661. The cubic root of 244144264 is about 625.0031052646.

The spelling of 244144264 in words is "two hundred forty-four million, one hundred forty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 49 52 56 91 92 98 104 161 182 184 196 299 322 364 392 598 637 644 728 1127 1196 1274 1288 2083 2093 2254 2392 2548 4166 4186 4508 5096 8332 8372 9016 14581 14651 16664 16744 27079 29162 29302 47909 54158 58324 58604 95818 102067 108316 116648 117208 189553 191636 204134 216632 335363 379106 383272 408268 622817 670726 758212 816536 1245634 1326871 1341452 1516424 2347541 2491268 2653742 2682904 4359719 4695082 4982536 5307484 8719438 9390164 10614968 17438876 18780328 30518033 34877752 61036066 122072132 244144264