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422101224 = 23325862517
BaseRepresentation
bin11001001010001…
…100000011101000
31002102020222000200
4121022030003220
51331024214344
6105515032200
713313541546
oct3112140350
91072228020
10422101224
111a72a0996
12b943b660
13695ac24c
14400b8d96
15270cc069
hex1928c0e8

422101224 has 24 divisors (see below), whose sum is σ = 1143191010. Its totient is φ = 140700384.

The previous prime is 422101213. The next prime is 422101237.

422101224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 312228900 + 109872324 = 17670^2 + 10482^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 422101197 and 422101206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2931187 + ... + 2931330.

Almost surely, 2422101224 is an apocalyptic number.

It is an amenable number.

422101224 is an abundant number, since it is smaller than the sum of its proper divisors (721089786).

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

422101224 is a wasteful number, since it uses less digits than its factorization.

422101224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5862529 (or 5862522 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 422101224 is about 20545.1021900598. The cubic root of 422101224 is about 750.1340347115.

It can be divided in two parts, 42210 and 1224, that added together give a palindrome (43434).

The spelling of 422101224 in words is "four hundred twenty-two million, one hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5862517 11725034 17587551 23450068 35175102 46900136 52762653 70350204 105525306 140700408 211050612 422101224