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422592280 = 235112274231
BaseRepresentation
bin11001001100000…
…011111100011000
31002110011220121221
4121030003330120
51331140423110
6105533341424
713320655315
oct3114037430
91073156557
10422592280
111a75a6920
12b9637874
1369721906
14401a5d0c
15271777da
hex19303f18

422592280 has 64 divisors (see below), whose sum is σ = 1042087680. Its totient is φ = 152956800.

The previous prime is 422592257. The next prime is 422592283. The reversal of 422592280 is 82295224.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422592283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97765 + ... + 101995.

It is an arithmetic number, because the mean of its divisors is an integer number (16282620).

Almost surely, 2422592280 is an apocalyptic number.

422592280 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 422592280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521043840).

422592280 is an abundant number, since it is smaller than the sum of its proper divisors (619495400).

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

422592280 is a wasteful number, since it uses less digits than its factorization.

422592280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 422592280 is about 20557.0493991721. The cubic root of 422592280 is about 750.4248141466.

The spelling of 422592280 in words is "four hundred twenty-two million, five hundred ninety-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 227 440 454 908 1135 1816 2270 2497 4231 4540 4994 8462 9080 9988 12485 16924 19976 21155 24970 33848 42310 46541 49940 84620 93082 99880 169240 186164 232705 372328 465410 930820 960437 1861640 1920874 3841748 4802185 7683496 9604370 10564807 19208740 21129614 38417480 42259228 52824035 84518456 105648070 211296140 422592280