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402200144 = 2417286981
BaseRepresentation
bin10111111110010…
…001011001010000
31001000210212212122
4113332101121100
51310430401034
6103524313412
712652434113
oct2776213120
91030725778
10402200144
11197038a15
12b2842868
1365431b68
143b5b857a
152549a62e
hex17f91650

402200144 has 30 divisors (see below), whose sum is σ = 827807694. Its totient is φ = 189268480.

The previous prime is 402200137. The next prime is 402200153. The reversal of 402200144 is 441002204.

It can be written as a sum of positive squares in 3 ways, for example, as 81360400 + 320839744 = 9020^2 + 17912^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38867 + ... + 48114.

Almost surely, 2402200144 is an apocalyptic number.

It is an amenable number.

402200144 is an abundant number, since it is smaller than the sum of its proper divisors (425607550).

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

402200144 is a wasteful number, since it uses less digits than its factorization.

402200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87023 (or 87000 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 402200144 is about 20054.9281723969. The cubic root of 402200144 is about 738.1547304232.

Adding to 402200144 its reverse (441002204), we get a palindrome (843202348).

The spelling of 402200144 in words is "four hundred two million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 86981 173962 347924 695848 1391696 1478677 2957354 5914708 11829416 23658832 25137509 50275018 100550036 201100072 402200144