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422735260 = 2251711311003
BaseRepresentation
bin11001001100100…
…110110110011100
31002110110011202111
4121030212312130
51331210012020
6105540403404
713322122213
oct3114466634
91073404674
10422735260
111a7694292
12b96a6564
1369771a0c
144020207a
15271a4d5a
hex19326d9c

422735260 has 48 divisors (see below), whose sum is σ = 948368736. Its totient is φ = 157724672.

The previous prime is 422735219. The next prime is 422735267. The reversal of 422735260 is 62537224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422735267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32919 + ... + 43921.

It is an arithmetic number, because the mean of its divisors is an integer number (19757682).

Almost surely, 2422735260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422735260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474184368).

422735260 is an abundant number, since it is smaller than the sum of its proper divisors (525633476).

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

422735260 is a wasteful number, since it uses less digits than its factorization.

422735260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11142 (or 11140 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 422735260 is about 20560.5267442252. The cubic root of 422735260 is about 750.5094375898.

The spelling of 422735260 in words is "four hundred twenty-two million, seven hundred thirty-five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 340 452 565 1130 1921 2260 3842 7684 9605 11003 19210 22006 38420 44012 55015 110030 187051 220060 374102 748204 935255 1243339 1870510 2486678 3741020 4973356 6216695 12433390 21136763 24866780 42273526 84547052 105683815 211367630 422735260