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332227680 = 2535692141
BaseRepresentation
bin10011110011010…
…110010001100000
3212011010220200220
4103303112101200
51140022241210
652544443040
711142613551
oct2363262140
9764126626
10332227680
11160596634
1293319480
1353aa2a35
14321a2328
151e277c70
hex13cd6460

332227680 has 48 divisors (see below), whose sum is σ = 1046518704. Its totient is φ = 88593920.

The previous prime is 332227661. The next prime is 332227681. The reversal of 332227680 is 86722233.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3322276802 = 220750462716364800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332227681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345591 + ... + 346550.

It is an arithmetic number, because the mean of its divisors is an integer number (21802473).

Almost surely, 2332227680 is an apocalyptic number.

332227680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332227680 is an abundant number, since it is smaller than the sum of its proper divisors (714291024).

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

332227680 is a wasteful number, since it uses less digits than its factorization.

332227680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692159 (or 692151 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 332227680 is about 18227.1138691785. The cubic root of 332227680 is about 692.5938079682.

The spelling of 332227680 in words is "three hundred thirty-two million, two hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 692141 1384282 2076423 2768564 3460705 4152846 5537128 6921410 8305692 10382115 11074256 13842820 16611384 20764230 22148512 27685640 33222768 41528460 55371280 66445536 83056920 110742560 166113840 332227680