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422563220 = 225174130313
BaseRepresentation
bin11001001011111…
…100110110010100
31002110010102202122
4121023330312110
51331134010340
6105532555112
713320504512
oct3113746624
91073112678
10422563220
111a7587002
12b9622a98
1369711611
14401994b2
152716ddb5
hex192fcd94

422563220 has 48 divisors (see below), whose sum is σ = 962530128. Its totient is φ = 155197440.

The previous prime is 422563217. The next prime is 422563241. The reversal of 422563220 is 22365224.

It can be written as a sum of positive squares in 8 ways, for example, as 425104 + 422138116 = 652^2 + 20546^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 422563220.

It is a congruent number.

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, 1217 + ... + 29096.

It is an arithmetic number, because the mean of its divisors is an integer number (20052711).

Almost surely, 2422563220 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 422563220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481265064).

422563220 is an abundant number, since it is smaller than the sum of its proper divisors (539966908).

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

422563220 is a wasteful number, since it uses less digits than its factorization.

422563220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30380 (or 30378 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 422563220 is about 20556.3425735222. The cubic root of 422563220 is about 750.4076125033.

The spelling of 422563220 in words is "four hundred twenty-two million, five hundred sixty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 6970 13940 30313 60626 121252 151565 303130 515321 606260 1030642 1242833 2061284 2485666 2576605 4971332 5153210 6214165 10306420 12428330 21128161 24856660 42256322 84512644 105640805 211281610 422563220