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213555012 = 223117920479
BaseRepresentation
bin11001011101010…
…01011101000100
3112212211201101220
430232221131010
5414132230022
633105120340
75202121236
oct1456513504
9485751356
10213555012
11aa601050
125b6290b0
1335322018
1420510256
1513b3585c
hexcba9744

213555012 has 48 divisors (see below), whose sum is σ = 550502400. Its totient is φ = 63891360.

The previous prime is 213554993. The next prime is 213555029. The reversal of 213555012 is 210555312.

It is a happy number.

213555012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

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, 189 + ... + 20667.

It is an arithmetic number, because the mean of its divisors is an integer number (11468800).

Almost surely, 2213555012 is an apocalyptic number.

213555012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213555012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275251200).

213555012 is an abundant number, since it is smaller than the sum of its proper divisors (336947388).

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

213555012 is a wasteful number, since it uses less digits than its factorization.

213555012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20576 (or 20574 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 213555012 is about 14613.5215468415. The cubic root of 213555012 is about 597.7275261930.

The spelling of 213555012 in words is "two hundred thirteen million, five hundred fifty-five thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 10428 20479 40958 61437 81916 122874 225269 245748 450538 675807 901076 1351614 1617841 2703228 3235682 4853523 6471364 9707046 17796251 19414092 35592502 53388753 71185004 106777506 213555012