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20422656 = 21332277
BaseRepresentation
bin100110111101…
…0000000000000
31102102120121200
41031322000000
520212011111
62005421200
7335406162
oct115720000
942376550
1020422656
1110589931
126a0a800
134300917
1429d8932
151bd6256
hex137a000

20422656 has 84 divisors (see below), whose sum is σ = 59208162. Its totient is φ = 6782976.

The previous prime is 20422651. The next prime is 20422657. The reversal of 20422656 is 65622402.

20422656 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 2 + 656 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19501056 + 921600 = 4416^2 + 960^2 .

It is not an unprimeable number, because it can be changed into a prime (20422651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73590 + ... + 73866.

Almost surely, 220422656 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 20422656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29604081).

20422656 is an abundant number, since it is smaller than the sum of its proper divisors (38785506).

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

20422656 is an equidigital number, since it uses as much as digits as its factorization.

20422656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20422656 is about 4519.1432816409. The cubic root of 20422656 is about 273.3405563562.

The spelling of 20422656 in words is "twenty million, four hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 277 288 384 512 554 576 768 831 1024 1108 1152 1536 1662 2048 2216 2304 2493 3072 3324 4096 4432 4608 4986 6144 6648 8192 8864 9216 9972 12288 13296 17728 18432 19944 24576 26592 35456 36864 39888 53184 70912 73728 79776 106368 141824 159552 212736 283648 319104 425472 567296 638208 850944 1134592 1276416 1701888 2269184 2552832 3403776 5105664 6807552 10211328 20422656