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422290368 = 2633244381
BaseRepresentation
bin11001001010111…
…010001111000000
31002102121120111000
4121022322033000
51331101242433
6105523052000
713315260153
oct3112721700
91072546430
10422290368
111a7410005
12b9511000
1369647376
1440127c9a
1527118113
hex192ba3c0

422290368 has 56 divisors (see below), whose sum is σ = 1241460560. Its totient is φ = 140762880.

The previous prime is 422290331. The next prime is 422290399. The reversal of 422290368 is 863092224.

422290368 is a `hidden beast` number, since 4 + 2 + 2 + 290 + 368 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120463 + ... + 123918.

Almost surely, 2422290368 is an apocalyptic number.

422290368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

422290368 is an abundant number, since it is smaller than the sum of its proper divisors (819170192).

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

422290368 is a wasteful number, since it uses less digits than its factorization.

422290368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244402 (or 244386 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 422290368 is about 20549.7048153982. The cubic root of 422290368 is about 750.2460632617.

The spelling of 422290368 in words is "four hundred twenty-two million, two hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 244381 488762 733143 977524 1466286 1955048 2199429 2932572 3910096 4398858 5865144 6598287 7820192 8797716 11730288 13196574 15640384 17595432 23460576 26393148 35190864 46921152 52786296 70381728 105572592 140763456 211145184 422290368