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212928984 = 23325355799
BaseRepresentation
bin11001011000100…
…00100111011000
3112211122220122200
430230100213120
5414002211414
633043450200
75163603132
oct1454204730
9484586580
10212928984
11aa213774
125b386960
13351630a8
14203ca052
1513a60109
hexcb109d8

212928984 has 48 divisors (see below), whose sum is σ = 587574000. Its totient is φ = 69635904.

The previous prime is 212928977. The next prime is 212928997. The reversal of 212928984 is 489829212.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24084 + ... + 31715.

It is an arithmetic number, because the mean of its divisors is an integer number (12241125).

Almost surely, 2212928984 is an apocalyptic number.

212928984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212928984 is an abundant number, since it is smaller than the sum of its proper divisors (374645016).

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

212928984 is a wasteful number, since it uses less digits than its factorization.

212928984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55864 (or 55857 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 212928984 is about 14592.0863484287. The cubic root of 212928984 is about 597.1428830667.

It can be divided in two parts, 21292 and 8984, that added together give a square (30276 = 1742).

The spelling of 212928984 in words is "two hundred twelve million, nine hundred twenty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 55799 111598 167397 223196 334794 446392 502191 669588 1004382 1339176 2008764 2957347 4017528 5914694 8872041 11829388 17744082 23658776 26616123 35488164 53232246 70976328 106464492 212928984