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402228324 = 223223221121
BaseRepresentation
bin10111111110011…
…000010001100100
31001000212022112100
4113332120101210
51310432301244
6103525052100
712652612221
oct2776302144
91030768470
10402228324
11197058103
12b2857030
1365441934
143b5c4948
15254a3b69
hex17f98464

402228324 has 54 divisors (see below), whose sum is σ = 1062922406. Its totient is φ = 128240640.

The previous prime is 402228319. The next prime is 402228341. The reversal of 402228324 is 423822204.

402228324 is a `hidden beast` number, since 402 + 228 + 32 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 373262400 + 28965924 = 19320^2 + 5382^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8484 + ... + 29604.

Almost surely, 2402228324 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 402228324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531461203).

402228324 is an abundant number, since it is smaller than the sum of its proper divisors (660694082).

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

402228324 is a wasteful number, since it uses less digits than its factorization.

402228324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21177 (or 21149 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 402228324 is about 20055.6307305455. The cubic root of 402228324 is about 738.1719695306.

The spelling of 402228324 in words is "four hundred two million, two hundred twenty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 9522 19044 21121 42242 63363 84484 126726 190089 253452 380178 485783 760356 971566 1457349 1943132 2914698 4372047 5829396 8744094 11173009 17488188 22346018 33519027 44692036 67038054 100557081 134076108 201114162 402228324