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332064213 = 31321759653
BaseRepresentation
bin10011110010101…
…110010111010101
3212010211121110120
4103302232113111
51140002023323
652541142153
711141333145
oct2362562725
9763747416
10332064213
11160494838
129325a959
1353a46500
143215c925
151e2445e3
hex13cae5d5

332064213 has 48 divisors (see below), whose sum is σ = 517026240. Its totient is φ = 188777472.

The previous prime is 332064209. The next prime is 332064221. The reversal of 332064213 is 312460233.

It is not a de Polignac number, because 332064213 - 22 = 332064209 is a prime.

It is a super-2 number, since 2×3320642132 = 220533283110618738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332064203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508195 + ... + 508847.

It is an arithmetic number, because the mean of its divisors is an integer number (10771380).

Almost surely, 2332064213 is an apocalyptic number.

It is an amenable number.

332064213 is a deficient number, since it is larger than the sum of its proper divisors (184962027).

332064213 is a wasteful number, since it uses less digits than its factorization.

332064213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 332064213 is about 18222.6291462017. The cubic root of 332064213 is about 692.4801963171.

The spelling of 332064213 in words is "three hundred thirty-two million, sixty-four thousand, two hundred thirteen".

Divisors: 1 3 13 17 39 51 59 169 177 221 507 653 663 767 1003 1959 2301 2873 3009 8489 8619 9971 11101 13039 25467 29913 33303 38527 39117 110357 115581 144313 169507 331071 432939 500851 508521 654959 1502553 1876069 1964877 5628207 6511063 8514467 19533189 25543401 110688071 332064213