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422664640 = 2656771951
BaseRepresentation
bin11001001100010…
…101100111000000
31002110022120212221
4121030111213000
51331200232030
6105535100424
713321406266
oct3114254700
91073276787
10422664640
111a7646222
12b9671714
1369748828
14401c4436
152718de7a
hex193159c0

422664640 has 56 divisors (see below), whose sum is σ = 1008473472. Its totient is φ = 168729600.

The previous prime is 422664637. The next prime is 422664643. The reversal of 422664640 is 46466224.

It is an interprime number because it is at equal distance from previous prime (422664637) and next prime (422664643).

It is a junction number, because it is equal to n+sod(n) for n = 422664596 and 422664605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422664643) 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, 215665 + ... + 217615.

Almost surely, 2422664640 is an apocalyptic number.

422664640 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 422664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504236736).

422664640 is an abundant number, since it is smaller than the sum of its proper divisors (585808832).

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

422664640 is a wasteful number, since it uses less digits than its factorization.

422664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 422664640 is about 20558.8093040429. The cubic root of 422664640 is about 750.4676431674.

The spelling of 422664640 in words is "four hundred twenty-two million, six hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 677 1354 1951 2708 3385 3902 5416 6770 7804 9755 10832 13540 15608 19510 21664 27080 31216 39020 43328 54160 62432 78040 108320 124864 156080 216640 312160 624320 1320827 2641654 5283308 6604135 10566616 13208270 21133232 26416540 42266464 52833080 84532928 105666160 211332320 422664640