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422205504 = 26371372293
BaseRepresentation
bin11001001010100…
…101100001000000
31002102110021001220
4121022211201000
51331041034004
6105521155040
713314454560
oct3112454100
91072407056
10422205504
111a7362276
12b948ba80
1369617856
1440104da0
15270ecdd9
hex192a5840

422205504 has 112 divisors (see below), whose sum is σ = 1286548608. Its totient is φ = 119697408.

The previous prime is 422205491. The next prime is 422205541. The reversal of 422205504 is 405502224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182982 + ... + 185274.

Almost surely, 2422205504 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 422205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643274304).

422205504 is an abundant number, since it is smaller than the sum of its proper divisors (864343104).

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

422205504 is a wasteful number, since it uses less digits than its factorization.

422205504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2442 counting only the distinct ones).

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

The square root of 422205504 is about 20547.6398644711. The cubic root of 422205504 is about 750.1958030993.

Adding to 422205504 its reverse (405502224), we get a palindrome (827707728).

The spelling of 422205504 in words is "four hundred twenty-two million, two hundred five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 137 168 192 224 274 336 411 448 548 672 822 959 1096 1344 1644 1918 2192 2293 2877 3288 3836 4384 4586 5754 6576 6879 7672 8768 9172 11508 13152 13758 15344 16051 18344 23016 26304 27516 30688 32102 36688 46032 48153 55032 61376 64204 73376 92064 96306 110064 128408 146752 184128 192612 220128 256816 314141 385224 440256 513632 628282 770448 942423 1027264 1256564 1540896 1884846 2198987 2513128 3081792 3769692 4397974 5026256 6596961 7539384 8795948 10052512 13193922 15078768 17591896 20105024 26387844 30157536 35183792 52775688 60315072 70367584 105551376 140735168 211102752 422205504