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258223812 = 223711172967
BaseRepresentation
bin11110110010000…
…10111011000100
3122222220010110220
433121002323010
51012101130222
641342344340
76253603050
oct1731027304
9588803426
10258223812
11122840410
127258b0b0
1341661972
142641ac60
1517a0ab5c
hexf642ec4

258223812 has 144 divisors (see below), whose sum is σ = 798809088. Its totient is φ = 63060480.

The previous prime is 258223811. The next prime is 258223837. The reversal of 258223812 is 218322852.

258223812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2582238122 = 133359074167622688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (258223811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266553 + ... + 267519.

Almost surely, 2258223812 is an apocalyptic number.

258223812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258223812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399404544).

258223812 is an abundant number, since it is smaller than the sum of its proper divisors (540585276).

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

258223812 is a wasteful number, since it uses less digits than its factorization.

258223812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1007 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 258223812 is about 16069.3438571710. The cubic root of 258223812 is about 636.7937066676.

The spelling of 258223812 in words is "two hundred fifty-eight million, two hundred twenty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 289 308 357 374 462 476 561 578 714 748 867 924 967 1122 1156 1309 1428 1734 1934 2023 2244 2618 2901 3179 3468 3868 3927 4046 5236 5802 6069 6358 6769 7854 8092 9537 10637 11604 12138 12716 13538 15708 16439 19074 20307 21274 22253 24276 27076 31911 32878 38148 40614 42548 44506 49317 63822 65756 66759 74459 81228 89012 98634 115073 127644 133518 148918 180829 197268 223377 230146 267036 279463 297836 345219 361658 446754 460292 542487 558926 690438 723316 838389 893508 1084974 1117852 1265803 1380876 1676778 1956241 2169948 2531606 3074093 3353556 3797409 3912482 5063212 5868723 6148186 7594818 7824964 9222279 11737446 12296372 15189636 18444558 21518651 23474892 36889116 43037302 64555953 86074604 129111906 258223812