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22672896 = 29329509
BaseRepresentation
bin101011001111…
…1011000000000
31120122220100220
41112133120000
521301013041
62125543040
7363500511
oct126373000
946586326
1022672896
1111886534
127714a80
13490ac1c
143022a08
151eccd66
hex159f600

22672896 has 80 divisors (see below), whose sum is σ = 62607600. Its totient is φ = 7282688.

The previous prime is 22672891. The next prime is 22672913. The reversal of 22672896 is 69827622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22672891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44290 + ... + 44798.

It is an arithmetic number, because the mean of its divisors is an integer number (782595).

Almost surely, 222672896 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 22672896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31303800).

22672896 is an abundant number, since it is smaller than the sum of its proper divisors (39934704).

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

22672896 is an equidigital number, since it uses as much as digits as its factorization.

22672896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 543 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 22672896 is about 4761.6064516085. The cubic root of 22672896 is about 283.0320815016.

The spelling of 22672896 in words is "twenty-two million, six hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 509 512 696 768 928 1018 1392 1527 1536 1856 2036 2784 3054 3712 4072 5568 6108 7424 8144 11136 12216 14761 14848 16288 22272 24432 29522 32576 44283 44544 48864 59044 65152 88566 97728 118088 130304 177132 195456 236176 260608 354264 390912 472352 708528 781824 944704 1417056 1889408 2834112 3778816 5668224 7557632 11336448 22672896