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13223088 = 243519179
BaseRepresentation
bin110010011100…
…010010110000
3220212210200000
4302130102300
511341114323
61151230000
7220252164
oct62342260
926783600
1013223088
11751177a
124518300
13297c918
141a82ca4
151262e43
hexc9c4b0

13223088 has 120 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 4152384.

The previous prime is 13223087. The next prime is 13223123. The reversal of 13223088 is 88032231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13223083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73783 + ... + 73961.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 213223088 is an apocalyptic number.

13223088 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 13223088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

13223088 is an abundant number, since it is smaller than the sum of its proper divisors (27399312).

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

13223088 is a wasteful number, since it uses less digits than its factorization.

13223088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

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

The square root of 13223088 is about 3636.3564181747. The cubic root of 13223088 is about 236.4708592242.

It can be divided in two parts, 132 and 23088, that added together give a triangular number (23220 = T215).

The spelling of 13223088 in words is "thirteen million, two hundred twenty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 179 216 228 243 304 324 342 358 432 456 486 513 537 648 684 716 912 972 1026 1074 1296 1368 1432 1539 1611 1944 2052 2148 2736 2864 3078 3222 3401 3888 4104 4296 4617 4833 6156 6444 6802 8208 8592 9234 9666 10203 12312 12888 13604 14499 18468 19332 20406 24624 25776 27208 28998 30609 36936 38664 40812 43497 54416 57996 61218 73872 77328 81624 86994 91827 115992 122436 163248 173988 183654 231984 244872 275481 347976 367308 489744 550962 695952 734616 826443 1101924 1469232 1652886 2203848 3305772 4407696 6611544 13223088