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422585640 = 23335391283
BaseRepresentation
bin11001001100000…
…010010100101000
31002110011120112000
4121030002110220
51331140220030
6105533251000
713320630051
oct3114022450
91073146460
10422585640
111a75a1934
12b9633a60
136971b899
14401a3728
1527175860
hex19302528

422585640 has 64 divisors (see below), whose sum is σ = 1408622400. Its totient is φ = 112689216.

The previous prime is 422585633. The next prime is 422585687. The reversal of 422585640 is 46585224.

It is a happy number.

422585640 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 8 + 5 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 422585595 and 422585604.

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, 194562 + ... + 196721.

It is an arithmetic number, because the mean of its divisors is an integer number (22009725).

Almost surely, 2422585640 is an apocalyptic number.

422585640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422585640 is an abundant number, since it is smaller than the sum of its proper divisors (986036760).

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

422585640 is a wasteful number, since it uses less digits than its factorization.

422585640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391303 (or 391293 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 422585640 is about 20556.8878967610. The cubic root of 422585640 is about 750.4208837650.

The spelling of 422585640 in words is "four hundred twenty-two million, five hundred eighty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 391283 782566 1173849 1565132 1956415 2347698 3130264 3521547 3912830 4695396 5869245 7043094 7825660 9390792 10564641 11738490 14086188 15651320 17607735 21129282 23476980 28172376 35215470 42258564 46953960 52823205 70430940 84517128 105646410 140861880 211292820 422585640