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422091972 = 22352271913
BaseRepresentation
bin11001001010001…
…001110011000100
31002102020111100000
4121022021303010
51331023420342
6105514521300
713313502561
oct3112116304
91072214300
10422091972
111a7294a45
12b9436230
13695a7c83
14400b5868
15270c944c
hex19289cc4

422091972 has 72 divisors (see below), whose sum is σ = 1111926816. Its totient is φ = 140004288.

The previous prime is 422091941. The next prime is 422091977. The reversal of 422091972 is 279190224.

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 (422091977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219688 + ... + 221600.

It is an arithmetic number, because the mean of its divisors is an integer number (15443428).

Almost surely, 2422091972 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 422091972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555963408).

422091972 is an abundant number, since it is smaller than the sum of its proper divisors (689834844).

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

422091972 is a wasteful number, since it uses less digits than its factorization.

422091972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 422091972 is about 20544.8770256724. The cubic root of 422091972 is about 750.1285539639.

The spelling of 422091972 in words is "four hundred twenty-two million, ninety-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 227 243 324 454 486 681 908 972 1362 1913 2043 2724 3826 4086 5739 6129 7652 8172 11478 12258 17217 18387 22956 24516 34434 36774 51651 55161 68868 73548 103302 110322 154953 206604 220644 309906 434251 464859 619812 868502 929718 1302753 1737004 1859436 2605506 3908259 5211012 7816518 11724777 15633036 23449554 35174331 46899108 70348662 105522993 140697324 211045986 422091972