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422338608 = 243226910903
BaseRepresentation
bin11001001011000…
…110000000110000
31002102201000122200
4121023012000300
51331104313413
6105524103200
713315550616
oct3113060060
91072630580
10422338608
111a744327a
12b9534b00
1369663303
144013b6b6
1527127573
hex192c6030

422338608 has 60 divisors (see below), whose sum is σ = 1186464240. Its totient is φ = 140243328.

The previous prime is 422338607. The next prime is 422338613. The reversal of 422338608 is 806833224.

422338608 is a `hidden beast` number, since 42 + 2 + 3 + 3 + 8 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (422338607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33285 + ... + 44187.

It is an arithmetic number, because the mean of its divisors is an integer number (19774404).

Almost surely, 2422338608 is an apocalyptic number.

422338608 is a gapful number since it is divisible by the number (48) 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 422338608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593232120).

422338608 is an abundant number, since it is smaller than the sum of its proper divisors (764125632).

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

422338608 is a wasteful number, since it uses less digits than its factorization.

422338608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11186 (or 11177 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 422338608 is about 20550.8785213674. The cubic root of 422338608 is about 750.2746300921.

The spelling of 422338608 in words is "four hundred twenty-two million, three hundred thirty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 269 538 807 1076 1614 2152 2421 3228 4304 4842 6456 9684 10903 12912 19368 21806 32709 38736 43612 65418 87224 98127 130836 174448 196254 261672 392508 523344 785016 1570032 2932907 5865814 8798721 11731628 17597442 23463256 26396163 35194884 46926512 52792326 70389768 105584652 140779536 211169304 422338608