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3332122112 = 29111931139
BaseRepresentation
bin1100011010011100…
…0010011000000000
322121012222100020002
43012213002120000
523311010401422
61310350535132
7145400366504
oct30647023000
98535870202
103332122112
11145a994730
1278bb074a8
1341144b1b7
1423877c304
151477ea692
hexc69c2600

3332122112 has 80 divisors (see below), whose sum is σ = 7645492800. Its totient is φ = 1434839040.

The previous prime is 3332122097. The next prime is 3332122151. The reversal of 3332122112 is 2112212333.

It is a super-2 number, since 2×33321221122 = 22206075538558681088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91439 + ... + 122577.

It is an arithmetic number, because the mean of its divisors is an integer number (95568660).

Almost surely, 23332122112 is an apocalyptic number.

3332122112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822746400).

3332122112 is an abundant number, since it is smaller than the sum of its proper divisors (4313370688).

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

3332122112 is a wasteful number, since it uses less digits than its factorization.

3332122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31187 (or 31171 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 3332122112 is about 57724.5364814651. The cubic root of 3332122112 is about 1493.6206278320.

Adding to 3332122112 its reverse (2112212333), we get a palindrome (5444334445).

The spelling of 3332122112 in words is "three billion, three hundred thirty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 704 836 1216 1408 1672 2432 2816 3344 4864 5632 6688 9728 13376 26752 31139 53504 62278 107008 124556 249112 342529 498224 591641 685058 996448 1183282 1370116 1992896 2366564 2740232 3985792 4733128 5480464 6508051 7971584 9466256 10960928 13016102 15943168 18932512 21921856 26032204 37865024 43843712 52064408 75730048 87687424 104128816 151460096 175374848 208257632 302920192 416515264 833030528 1666061056 3332122112