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212099504 = 24293311381
BaseRepresentation
bin11001010010001…
…10000110110000
3112210002202211012
430221012012300
5413244141004
633014010052
75153546621
oct1451060660
9483082735
10212099504
11a97a7551
125b046928
1334c32686
1420251a48
151394946e
hexca461b0

212099504 has 40 divisors (see below), whose sum is σ = 426706320. Its totient is φ = 102009600.

The previous prime is 212099483. The next prime is 212099509. The reversal of 212099504 is 405990212.

It is not an unprimeable number, because it can be changed into a prime (212099509) by changing a digit.

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, 152894 + ... + 154274.

It is an arithmetic number, because the mean of its divisors is an integer number (10667658).

Almost surely, 2212099504 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 212099504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213353160).

212099504 is an abundant number, since it is smaller than the sum of its proper divisors (214606816).

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

212099504 is a wasteful number, since it uses less digits than its factorization.

212099504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 212099504 is about 14563.6363590966. The cubic root of 212099504 is about 596.3664698119.

The spelling of 212099504 in words is "two hundred twelve million, ninety-nine thousand, five hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 331 464 662 1324 1381 2648 2762 5296 5524 9599 11048 19198 22096 38396 40049 76792 80098 153584 160196 320392 457111 640784 914222 1828444 3656888 7313776 13256219 26512438 53024876 106049752 212099504