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400122 = 23222229
BaseRepresentation
bin1100001101011111010
3202022212100
41201223322
5100300442
612324230
73254352
oct1415372
9668770
10400122
11253688
12173676
13110178
14a5b62
157d84c
hex61afa

400122 has 12 divisors (see below), whose sum is σ = 866970. Its totient is φ = 133368.

The previous prime is 400109. The next prime is 400123. The reversal of 400122 is 221004.

It can be written as a sum of positive squares in only one way, i.e., 370881 + 29241 = 609^2 + 171^2 .

It is a super-2 number, since 2×4001222 = 320195229768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (400123) by changing a digit.

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, 11097 + ... + 11132.

2400122 is an apocalyptic number.

400122 is an abundant number, since it is smaller than the sum of its proper divisors (466848).

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

400122 is a wasteful number, since it uses less digits than its factorization.

400122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22237 (or 22234 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 400122 is about 632.5519741492. The cubic root of 400122 is about 73.6881200754.

Adding to 400122 its reverse (221004), we get a palindrome (621126).

The spelling of 400122 in words is "four hundred thousand, one hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 22229 44458 66687 133374 200061 400122