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422058240 = 2832536637
BaseRepresentation
bin11001001010000…
…001100100000000
31002102011210001200
4121022001210000
51331021330430
6105514101200
713313302332
oct3112014400
91072153050
10422058240
111a727166a
12b941a800
1369595806
14400a7452
15270be460
hex19281900

422058240 has 108 divisors (see below), whose sum is σ = 1460317404. Its totient is φ = 112545792.

The previous prime is 422058227. The next prime is 422058253. The reversal of 422058240 is 42850224.

It is a happy number.

422058240 is a `hidden beast` number, since 42 + 2 + 0 + 582 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (422058227) and next prime (422058253).

It can be written as a sum of positive squares in 2 ways, for example, as 150994944 + 271063296 = 12288^2 + 16464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6799 + ... + 29838.

Almost surely, 2422058240 is an apocalyptic number.

422058240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730158702).

422058240 is an abundant number, since it is smaller than the sum of its proper divisors (1038259164).

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

422058240 is a wasteful number, since it uses less digits than its factorization.

422058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36664 (or 36647 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 422058240 is about 20544.0560746898. The cubic root of 422058240 is about 750.1085709490.

The spelling of 422058240 in words is "four hundred twenty-two million, fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 36637 73274 109911 146548 183185 219822 293096 329733 366370 439644 549555 586192 659466 732740 879288 1099110 1172384 1318932 1465480 1648665 1758576 2198220 2344768 2637864 2930960 3297330 3517152 4396440 4689536 5275728 5861920 6594660 7034304 8792880 9379072 10551456 11723840 13189320 14068608 17585760 21102912 23447680 26378640 28137216 35171520 42205824 46895360 52757280 70343040 84411648 105514560 140686080 211029120 422058240