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252191226 = 23717279263
BaseRepresentation
bin11110000100000…
…10000111111010
3122120112122022210
433002002013322
51004030104401
641005155550
76151406250
oct1702020772
9576478283
10252191226
1111a3a0001
127055bbb6
134032bba1
14256ca5d0
15172184d6
hexf0821fa

252191226 has 96 divisors (see below), whose sum is σ = 622448640. Its totient is φ = 66703104.

The previous prime is 252191213. The next prime is 252191249. The reversal of 252191226 is 622191252.

252191226 = T8485 + T8486 + ... + T8491.

It is a junction number, because it is equal to n+sod(n) for n = 252191193 and 252191202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958771 + ... + 959033.

It is an arithmetic number, because the mean of its divisors is an integer number (6483840).

Almost surely, 2252191226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252191226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311224320).

252191226 is an abundant number, since it is smaller than the sum of its proper divisors (370257414).

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

252191226 is a wasteful number, since it uses less digits than its factorization.

252191226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 252191226 is about 15880.5297770572. The cubic root of 252191226 is about 631.7956881770.

The spelling of 252191226 in words is "two hundred fifty-two million, one hundred ninety-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 79 102 119 158 237 238 263 289 357 474 526 553 578 714 789 867 1106 1343 1578 1659 1734 1841 2023 2686 3318 3682 4029 4046 4471 5523 6069 8058 8942 9401 11046 12138 13413 18802 20777 22831 26826 28203 31297 41554 45662 56406 62331 62594 68493 76007 93891 124662 136986 145439 152014 159817 187782 228021 290878 319634 353209 436317 456042 479451 532049 706418 872634 958902 1059627 1064098 1596147 2119254 2472463 3192294 4944926 6004553 7417389 12009106 14834778 18013659 36027318 42031871 84063742 126095613 252191226