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258223944 = 23311232432
BaseRepresentation
bin11110110010000…
…10111101001000
3122222220010122210
433121002331020
51012101131234
641342345120
76253603326
oct1731027510
9588803583
10258223944
11122840520
127258b1a0
1341661a44
142641ad16
1517a0abe9
hexf642f48

258223944 has 144 divisors (see below), whose sum is σ = 753716880. Its totient is φ = 73106880.

The previous prime is 258223939. The next prime is 258223957. The reversal of 258223944 is 449322852.

258223944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 6005187 + ... + 6005229.

It is an arithmetic number, because the mean of its divisors is an integer number (5234145).

Almost surely, 2258223944 is an apocalyptic number.

258223944 is a gapful number since it is divisible by the number (24) 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 258223944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376858440).

258223944 is an abundant number, since it is smaller than the sum of its proper divisors (495492936).

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

258223944 is a wasteful number, since it uses less digits than its factorization.

258223944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 82 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 258223944 is about 16069.3479643699. The cubic root of 258223944 is about 636.7938151740.

The spelling of 258223944 in words is "two hundred fifty-eight million, two hundred twenty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 43 44 46 66 69 86 88 92 129 132 138 172 184 253 258 264 276 344 473 506 516 529 552 759 946 989 1012 1032 1058 1419 1518 1587 1849 1892 1978 2024 2116 2838 2967 3036 3174 3698 3784 3956 4232 5547 5676 5819 5934 6072 6348 7396 7912 10879 11094 11352 11638 11868 12696 14792 17457 20339 21758 22188 22747 23276 23736 32637 34914 40678 42527 43516 44376 45494 46552 61017 65274 68241 69828 81356 85054 87032 90988 122034 127581 130548 136482 139656 162712 170108 181976 244068 250217 255162 261096 272964 340216 467797 488136 500434 510324 545928 750651 935594 978121 1000868 1020648 1403391 1501302 1871188 1956242 2001736 2806782 2934363 3002604 3742376 3912484 5613564 5868726 6005208 7824968 10759331 11227128 11737452 21518662 23474904 32277993 43037324 64555986 86074648 129111972 258223944