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33212212132 = 22112647310601
BaseRepresentation
bin11110111011100110…
…100010001110100100
310011201121122012000211
4132323212202032210
51021004311242012
623131340545204
72254013100541
oct367346421644
9104647565024
1033212212132
11130a3478600
12652a852204
133193a1b338
141870cd1bc8
15ce5b3a6a7
hex7bb9a23a4

33212212132 has 36 divisors (see below), whose sum is σ = 63901370988. Its totient is φ = 15092704000.

The previous prime is 33212212123. The next prime is 33212212133. The reversal of 33212212132 is 23121221233.

It can be written as a sum of positive squares in 2 ways, for example, as 17470494976 + 15741717156 = 132176^2 + 125466^2 .

It is a super-2 number, since 2×332122121322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (33212212133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3127632 + ... + 3138232.

It is an arithmetic number, because the mean of its divisors is an integer number (1775038083).

Almost surely, 233212212132 is an apocalyptic number.

It is an amenable number.

33212212132 is a deficient number, since it is larger than the sum of its proper divisors (30689158856).

33212212132 is a wasteful number, since it uses less digits than its factorization.

33212212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17100 (or 17087 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

Adding to 33212212132 its reverse (23121221233), we get a palindrome (56333433365).

The spelling of 33212212132 in words is "thirty-three billion, two hundred twelve million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 44 121 242 484 6473 10601 12946 21202 25892 42404 71203 116611 142406 233222 284812 466444 783233 1282721 1566466 2565442 3132932 5130884 68620273 137240546 274481092 754823003 1509646006 3019292012 8303053033 16606106066 33212212132