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212099964 = 223191795197
BaseRepresentation
bin11001010010001…
…10001101111100
3112210002210110020
430221012031330
5413244144324
633014012140
75153551146
oct1451061574
9483083406
10212099964
11a97a792a
125b047050
1334c3294b
1420251c96
1513949679
hexca4637c

212099964 has 48 divisors (see below), whose sum is σ = 523958400. Its totient is φ = 66591936.

The previous prime is 212099941. The next prime is 212099981. The reversal of 212099964 is 469990212.

212099964 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38214 + ... + 43410.

It is an arithmetic number, because the mean of its divisors is an integer number (10915800).

Almost surely, 2212099964 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 212099964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261979200).

212099964 is an abundant number, since it is smaller than the sum of its proper divisors (311858436).

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

212099964 is a wasteful number, since it uses less digits than its factorization.

212099964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5402 (or 5400 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 212099964 is about 14563.6521518471. The cubic root of 212099964 is about 596.3669009435.

The spelling of 212099964 in words is "two hundred twelve million, ninety-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 179 228 358 537 716 1074 2148 3401 5197 6802 10203 10394 13604 15591 20406 20788 31182 40812 62364 98743 197486 296229 394972 592458 930263 1184916 1860526 2790789 3721052 5581578 11163156 17674997 35349994 53024991 70699988 106049982 212099964