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22920040 = 23511134007
BaseRepresentation
bin101011101101…
…1101101101000
31121010110101101
41113123231220
521331420130
62135131144
7365550163
oct127335550
947113341
1022920040
1111a35190
127813ab4
134996570
143088ada
15202b1ca
hex15dbb68

22920040 has 64 divisors (see below), whose sum is σ = 60600960. Its totient is φ = 7691520.

The previous prime is 22920019. The next prime is 22920049. The reversal of 22920040 is 4002922.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22920049) 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, 3717 + ... + 7723.

It is an arithmetic number, because the mean of its divisors is an integer number (946890).

Almost surely, 222920040 is an apocalyptic number.

22920040 is a gapful number since it is divisible by the number (20) 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 22920040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30300480).

22920040 is an abundant number, since it is smaller than the sum of its proper divisors (37680920).

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

22920040 is a wasteful number, since it uses less digits than its factorization.

22920040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 22920040 is about 4787.4878589924. The cubic root of 22920040 is about 284.0567564937.

Adding to 22920040 its reverse (4002922), we get a palindrome (26922962).

The spelling of 22920040 in words is "twenty-two million, nine hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 4007 5720 8014 16028 20035 32056 40070 44077 52091 80140 88154 104182 160280 176308 208364 220385 260455 352616 416728 440770 520910 573001 881540 1041820 1146002 1763080 2083640 2292004 2865005 4584008 5730010 11460020 22920040