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23398208 = 263741241
BaseRepresentation
bin101100101000…
…0011101000000
31122000202022022
41121100131000
521442220313
62153301012
7402611231
oct131203500
948022268
1023398208
1112231469
127a04768
134b030c2
143171088
1520c2c08
hex1650740

23398208 has 56 divisors (see below), whose sum is σ = 49051464. Its totient is φ = 11059200.

The previous prime is 23398183. The next prime is 23398213. The reversal of 23398208 is 80289332.

It can be written as a sum of positive squares in 4 ways, for example, as 4804864 + 18593344 = 2192^2 + 4312^2 .

It is a super-2 number, since 2×233982082 = 1094952275222528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96968 + ... + 97208.

It is an arithmetic number, because the mean of its divisors is an integer number (875919).

Almost surely, 223398208 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 23398208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24525732).

23398208 is an abundant number, since it is smaller than the sum of its proper divisors (25653256).

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

23398208 is a wasteful number, since it uses less digits than its factorization.

23398208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 23398208 is about 4837.1694202291. The cubic root of 23398208 is about 286.0185490113.

The spelling of 23398208 in words is "twenty-three million, three hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 148 164 241 296 328 482 592 656 964 1184 1312 1517 1928 2368 2624 3034 3856 6068 7712 8917 9881 12136 15424 17834 19762 24272 35668 39524 48544 71336 79048 97088 142672 158096 285344 316192 365597 570688 632384 731194 1462388 2924776 5849552 11699104 23398208