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22726420 = 2257011621
BaseRepresentation
bin101011010110…
…0011100010100
31120202121210021
41112230130110
521304221140
62131034524
7364112533
oct126543424
946677707
1022726420
1111912772
12773ba44
1349293b2
14303831a
151eddb4a
hex15ac714

22726420 has 24 divisors (see below), whose sum is σ = 47823048. Its totient is φ = 9072000.

The previous prime is 22726411. The next prime is 22726463. The reversal of 22726420 is 2462722.

It can be written as a sum of positive squares in 4 ways, for example, as 8678916 + 14047504 = 2946^2 + 3748^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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, 13210 + ... + 14830.

It is an arithmetic number, because the mean of its divisors is an integer number (1992627).

Almost surely, 222726420 is an apocalyptic number.

22726420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22726420 is an abundant number, since it is smaller than the sum of its proper divisors (25096628).

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

22726420 is a wasteful number, since it uses less digits than its factorization.

22726420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 22726420 is about 4767.2235105982. The cubic root of 22726420 is about 283.2546248116.

The spelling of 22726420 in words is "twenty-two million, seven hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 701 1402 1621 2804 3242 3505 6484 7010 8105 14020 16210 32420 1136321 2272642 4545284 5681605 11363210 22726420