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13223808 = 273213883
BaseRepresentation
bin110010011100…
…011110000000
3220212211122200
4302130132000
511341130213
61151233200
7220254243
oct62343600
926784580
1013223808
117512274
124518800
132980050
141a8325a
151263273
hexc9c780

13223808 has 96 divisors (see below), whose sum is σ = 41026440. Its totient is φ = 4064256.

The previous prime is 13223801. The next prime is 13223831. The reversal of 13223808 is 80832231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14535 + ... + 15417.

Almost surely, 213223808 is an apocalyptic number.

13223808 is a gapful number since it is divisible by the number (18) 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 13223808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20513220).

13223808 is an abundant number, since it is smaller than the sum of its proper divisors (27802632).

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

13223808 is a wasteful number, since it uses less digits than its factorization.

13223808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13223808 is about 3636.4554170236. The cubic root of 13223808 is about 236.4751511094.

The spelling of 13223808 in words is "thirteen million, two hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 883 936 1152 1248 1664 1766 1872 2496 2649 3532 3744 4992 5298 7064 7488 7947 10596 11479 14128 14976 15894 21192 22958 28256 31788 34437 42384 45916 56512 63576 68874 84768 91832 103311 113024 127152 137748 169536 183664 206622 254304 275496 339072 367328 413244 508608 550992 734656 826488 1017216 1101984 1469312 1652976 2203968 3305952 4407936 6611904 13223808