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22055424 = 29383173
BaseRepresentation
bin101010000100…
…0101000000000
31112111112100120
41110020220000
521121233144
62104420240
7355316346
oct124105000
945445316
1022055424
11114a4626
127477680
134752b61
142d01996
151e09e19
hex1508a00

22055424 has 80 divisors (see below), whose sum is σ = 59808672. Its totient is φ = 7221248.

The previous prime is 22055377. The next prime is 22055489. The reversal of 22055424 is 42455022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 22055394 and 22055403.

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, 127402 + ... + 127574.

Almost surely, 222055424 is an apocalyptic number.

22055424 is a gapful number since it is divisible by the number (24) 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 22055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29904336).

22055424 is an abundant number, since it is smaller than the sum of its proper divisors (37753248).

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

22055424 is an equidigital number, since it uses as much as digits as its factorization.

22055424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 22055424 is about 4696.3202616517. The cubic root of 22055424 is about 280.4390391194.

The spelling of 22055424 in words is "twenty-two million, fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 173 192 249 256 332 346 384 498 512 519 664 692 768 996 1038 1328 1384 1536 1992 2076 2656 2768 3984 4152 5312 5536 7968 8304 10624 11072 14359 15936 16608 21248 22144 28718 31872 33216 42496 43077 44288 57436 63744 66432 86154 88576 114872 127488 132864 172308 229744 265728 344616 459488 689232 918976 1378464 1837952 2756928 3675904 5513856 7351808 11027712 22055424