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422209956 = 223729315591
BaseRepresentation
bin11001001010100…
…110100110100100
31002102110111011210
4121022212212210
51331041204311
6105521231420
713314503550
oct3112464644
91072414153
10422209956
111a7365653
12b9492570
136961989c
1440106860
15270ee3a6
hex192a69a4

422209956 has 96 divisors (see below), whose sum is σ = 1202503680. Its totient is φ = 112694400.

The previous prime is 422209951. The next prime is 422209973. The reversal of 422209956 is 659902224.

It is a super-2 number, since 2×4222099562 = 356522493891043872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (422209951) 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 31 ways as a sum of consecutive naturals, for example, 72721 + ... + 78311.

It is an arithmetic number, because the mean of its divisors is an integer number (12526080).

Almost surely, 2422209956 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 422209956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601251840).

422209956 is an abundant number, since it is smaller than the sum of its proper divisors (780293724).

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

422209956 is a wasteful number, since it uses less digits than its factorization.

422209956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5665 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 422209956 is about 20547.7481977953. The cubic root of 422209956 is about 750.1984399353.

The spelling of 422209956 in words is "four hundred twenty-two million, two hundred nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 31 42 58 62 84 87 93 116 124 174 186 203 217 348 372 406 434 609 651 812 868 899 1218 1302 1798 2436 2604 2697 3596 5394 5591 6293 10788 11182 12586 16773 18879 22364 25172 33546 37758 39137 67092 75516 78274 117411 156548 162139 173321 234822 324278 346642 469644 486417 519963 648556 693284 972834 1039926 1134973 1213247 1945668 2079852 2269946 2426494 3404919 3639741 4539892 4852988 5026309 6809838 7279482 10052618 13619676 14558964 15078927 20105236 30157854 35184163 60315708 70368326 105552489 140736652 211104978 422209956