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422407680 = 293555001
BaseRepresentation
bin11001001011010…
…110111000000000
31002102211112101220
4121023112320000
51331114021210
6105525355040
713316256162
oct3113267000
91072745356
10422407680
111a7490162
12b9568a80
1369688896
1440158932
152713cc70
hex192d6e00

422407680 has 80 divisors (see below), whose sum is σ = 1350409104. Its totient is φ = 112640000.

The previous prime is 422407679. The next prime is 422407681. The reversal of 422407680 is 86704224.

It is an interprime number because it is at equal distance from previous prime (422407679) and next prime (422407681).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422407681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19821 + ... + 35180.

Almost surely, 2422407680 is an apocalyptic number.

422407680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422407680 is an abundant number, since it is smaller than the sum of its proper divisors (928001424).

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

422407680 is an equidigital number, since it uses as much as digits as its factorization.

422407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55027 (or 55011 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 422407680 is about 20552.5589647615. The cubic root of 422407680 is about 750.3155294585.

The spelling of 422407680 in words is "four hundred twenty-two million, four hundred seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 55001 110002 165003 220004 275005 330006 440008 550010 660012 825015 880016 1100020 1320024 1650030 1760032 2200040 2640048 3300060 3520064 4400080 5280096 6600120 7040128 8800160 10560192 13200240 14080256 17600320 21120384 26400480 28160512 35200640 42240768 52800960 70401280 84481536 105601920 140802560 211203840 422407680