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22920420 = 22351723977
BaseRepresentation
bin101011101101…
…1110011100100
31121010110220110
41113123303210
521331423140
62135133020
7365551245
oct127336344
947113813
1022920420
1111a354a6
127814170
1349967a3
143088ccc
15202b380
hex15dbce4

22920420 has 96 divisors (see below), whose sum is σ = 70979328. Its totient is φ = 5496832.

The previous prime is 22920409. The next prime is 22920431. The reversal of 22920420 is 2402922.

It is an interprime number because it is at equal distance from previous prime (22920409) and next prime (22920431).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22972 + ... + 23948.

It is an arithmetic number, because the mean of its divisors is an integer number (739368).

Almost surely, 222920420 is an apocalyptic number.

22920420 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 22920420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35489664).

22920420 is an abundant number, since it is smaller than the sum of its proper divisors (48058908).

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

22920420 is a wasteful number, since it uses less digits than its factorization.

22920420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 22920420 is about 4787.5275456127. The cubic root of 22920420 is about 284.0583263131.

The spelling of 22920420 in words is "twenty-two million, nine hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 30 34 46 51 60 68 69 85 92 102 115 138 170 204 230 255 276 340 345 391 460 510 690 782 977 1020 1173 1380 1564 1954 1955 2346 2931 3908 3910 4692 4885 5862 5865 7820 9770 11724 11730 14655 16609 19540 22471 23460 29310 33218 44942 49827 58620 66436 67413 83045 89884 99654 112355 134826 166090 199308 224710 249135 269652 332180 337065 382007 449420 498270 674130 764014 996540 1146021 1348260 1528028 1910035 2292042 3820070 4584084 5730105 7640140 11460210 22920420