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402121224 = 23328962753
BaseRepresentation
bin10111111101111…
…110001000001000
31001000122212121200
4113331332020020
51310420334344
6103522504200
712651655041
oct2775761010
91030585550
10402121224
11196a9469a
12b2805060
1365404c6b
143b5978c8
1525482069
hex17f7e208

402121224 has 48 divisors (see below), whose sum is σ = 1101332700. Its totient is φ = 132532224.

The previous prime is 402121219. The next prime is 402121253. The reversal of 402121224 is 422121204.

It can be written as a sum of positive squares in 2 ways, for example, as 393228900 + 8892324 = 19830^2 + 2982^2 .

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 = 402121197 and 402121206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24969 + ... + 37784.

Almost surely, 2402121224 is an apocalyptic number.

It is an amenable number.

402121224 is an abundant number, since it is smaller than the sum of its proper divisors (699211476).

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

402121224 is a wasteful number, since it uses less digits than its factorization.

402121224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62854 (or 62847 counting only the distinct ones).

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

The square root of 402121224 is about 20052.9604796898. The cubic root of 402121224 is about 738.1064468485.

Adding to 402121224 its reverse (422121204), we get a palindrome (824242428).

The spelling of 402121224 in words is "four hundred two million, one hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 6408 62753 125506 188259 251012 376518 502024 564777 753036 1129554 1506072 2259108 4518216 5585017 11170034 16755051 22340068 33510102 44680136 50265153 67020204 100530306 134040408 201060612 402121224