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212152092 = 223232333299
BaseRepresentation
bin11001010010100…
…10111100011100
3112210012102221220
430221102330130
5413302331332
633015053340
75154156135
oct1451227434
9483172856
10212152092
11a9833009
125b071250
1334c505a9
1420266c8c
1513959d2c
hexca52f1c

212152092 has 48 divisors (see below), whose sum is σ = 518918400. Its totient is φ = 67331968.

The previous prime is 212152037. The next prime is 212152093. The reversal of 212152092 is 290251212.

212152092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212152093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62659 + ... + 65957.

It is an arithmetic number, because the mean of its divisors is an integer number (10810800).

Almost surely, 2212152092 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 212152092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259459200).

212152092 is an abundant number, since it is smaller than the sum of its proper divisors (306766308).

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

212152092 is a wasteful number, since it uses less digits than its factorization.

212152092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 212152092 is about 14565.4417028801. The cubic root of 212152092 is about 596.4157534858.

The spelling of 212152092 in words is "two hundred twelve million, one hundred fifty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 233 276 466 699 932 1398 2796 3299 5359 6598 9897 10718 13196 16077 19794 21436 32154 39588 64308 75877 151754 227631 303508 455262 768667 910524 1537334 2306001 3074668 4612002 9224004 17679341 35358682 53038023 70717364 106076046 212152092