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422055936 = 212321072
BaseRepresentation
bin11001001010000…
…001000000000000
31002102011122220100
4121022001000000
51331021242221
6105514042400
713313262531
oct3112010000
91072148810
10422055936
111a726a965
12b9419400
1369594753
14400a6688
15270bd926
hex19281000

422055936 has 117 divisors (see below), whose sum is σ = 1230624031. Its totient is φ = 139370496.

The previous prime is 422055919. The next prime is 422055973. The reversal of 422055936 is 639550224.

The square root of 422055936 is 20544.

It is a perfect power (a square), and thus also a powerful number.

422055936 is a `hidden beast` number, since 42 + 20 + 5 + 593 + 6 = 666.

It is a super-2 number, since 2×4220559362 = 356262426225672192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 422055936.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3944395 + ... + 3944501.

Almost surely, 2422055936 is an apocalyptic number.

422055936 is the 20544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422055936

422055936 is an abundant number, since it is smaller than the sum of its proper divisors (808568095).

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

422055936 is an equidigital number, since it uses as much as digits as its factorization.

422055936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The cubic root of 422055936 is about 750.1072060084.

Multiplying 422055936 by its sum of digits (36), we get a square (15194013696 = 1232642).

422055936 divided by its sum of digits (36) gives a square (11723776 = 34242).

The spelling of 422055936 in words is "four hundred twenty-two million, fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 256 288 321 384 428 512 576 642 768 856 963 1024 1152 1284 1536 1712 1926 2048 2304 2568 3072 3424 3852 4096 4608 5136 6144 6848 7704 9216 10272 11449 12288 13696 15408 18432 20544 22898 27392 30816 34347 36864 41088 45796 54784 61632 68694 82176 91592 103041 109568 123264 137388 164352 183184 206082 219136 246528 274776 328704 366368 412164 438272 493056 549552 657408 732736 824328 986112 1099104 1314816 1465472 1648656 1972224 2198208 2930944 3297312 3944448 4396416 5861888 6594624 8792832 11723776 13189248 17585664 23447552 26378496 35171328 46895104 52756992 70342656 105513984 140685312 211027968 422055936