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13223136 = 253181761
BaseRepresentation
bin110010011100…
…010011100000
3220212210201210
4302130103200
511341120021
61151230120
7220252263
oct62342340
926783653
1013223136
117511813
124518340
13297c954
141a82cda
151262e76
hexc9c4e0

13223136 has 48 divisors (see below), whose sum is σ = 34948368. Its totient is φ = 4377600.

The previous prime is 13223123. The next prime is 13223173. The reversal of 13223136 is 63132231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

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, 16996 + ... + 17756.

It is an arithmetic number, because the mean of its divisors is an integer number (728091).

Almost surely, 213223136 is an apocalyptic number.

13223136 is a gapful number since it is divisible by the number (16) 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 13223136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474184).

13223136 is an abundant number, since it is smaller than the sum of its proper divisors (21725232).

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

13223136 is a wasteful number, since it uses less digits than its factorization.

13223136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 947 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 13223136 is about 3636.3630181818. The cubic root of 13223136 is about 236.4711453547.

Adding to 13223136 its reverse (63132231), we get a palindrome (76355367).

The spelling of 13223136 in words is "thirteen million, two hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 543 724 761 1086 1448 1522 2172 2283 2896 3044 4344 4566 5792 6088 8688 9132 12176 17376 18264 24352 36528 73056 137741 275482 413223 550964 826446 1101928 1652892 2203856 3305784 4407712 6611568 13223136