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33223200012 = 22324782723743
BaseRepresentation
bin11110111100010000…
…011100110100001100
310011202101022102120100
4132330100130310030
51021020114400022
623132412251100
72254205353302
oct367420346414
9104671272510
1033223200012
11130a96a29a2
126532470a90
133196097742
141872552272
15ce6aab1ac
hex7bc41cd0c

33223200012 has 72 divisors (see below), whose sum is σ = 85875019776. Its totient is φ = 10825212384.

The previous prime is 33223200007. The next prime is 33223200013. The reversal of 33223200012 is 21000232233.

It is a happy number.

33223200012 is a `hidden beast` number, since 332 + 2 + 320 + 0 + 0 + 12 = 666.

It is a super-2 number, since 2×332232000122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (33223200013) 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 23 ways as a sum of consecutive naturals, for example, 1387413 + ... + 1411155.

It is an arithmetic number, because the mean of its divisors is an integer number (1192708608).

Almost surely, 233223200012 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 33223200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42937509888).

33223200012 is an abundant number, since it is smaller than the sum of its proper divisors (52651819764).

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

33223200012 is a wasteful number, since it uses less digits than its factorization.

33223200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24627 (or 24622 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33223200012 its reverse (21000232233), we get a palindrome (54223432245).

The spelling of 33223200012 in words is "thirty-three billion, two hundred twenty-three million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 827 846 1654 1692 2481 3308 4962 7443 9924 14886 23743 29772 38869 47486 71229 77738 94972 116607 142458 155476 213687 233214 284916 349821 427374 466428 699642 854748 1115921 1399284 2231842 3347763 4463684 6695526 10043289 13391052 19635461 20086578 39270922 40173156 58906383 78541844 117812766 176719149 235625532 353438298 706876596 922866667 1845733334 2768600001 3691466668 5537200002 8305800003 11074400004 16611600006 33223200012