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22726668 = 22323671229
BaseRepresentation
bin101011010110…
…0100000001100
31120202122010110
41112230200030
521304223133
62131040020
7364113336
oct126544014
946678113
1022726668
1111912978
127740010
134929543
143038456
151eddc63
hex15ac80c

22726668 has 48 divisors (see below), whose sum is σ = 56206080. Its totient is φ = 7132224.

The previous prime is 22726667. The next prime is 22726721. The reversal of 22726668 is 86662722.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (22726663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17878 + ... + 19106.

It is an arithmetic number, because the mean of its divisors is an integer number (1170960).

Almost surely, 222726668 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 22726668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28103040).

22726668 is an abundant number, since it is smaller than the sum of its proper divisors (33479412).

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

22726668 is a wasteful number, since it uses less digits than its factorization.

22726668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1324 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 22726668 is about 4767.2495214746. The cubic root of 22726668 is about 283.2556551380.

The spelling of 22726668 in words is "twenty-two million, seven hundred twenty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 67 69 92 134 138 201 268 276 402 804 1229 1541 2458 3082 3687 4623 4916 6164 7374 9246 14748 18492 28267 56534 82343 84801 113068 164686 169602 247029 329372 339204 494058 988116 1893889 3787778 5681667 7575556 11363334 22726668