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213974712 = 23327457929
BaseRepresentation
bin11001100000011…
…11111010111000
3112220122001010100
430300033322320
5414234142322
633122115400
75205516660
oct1460177270
9486561110
10213974712
11aa868406
125b7abb60
133543b073
14205bd1a0
1513bb9dac
hexcc0feb8

213974712 has 96 divisors (see below), whose sum is σ = 664466400. Its totient is φ = 60936192.

The previous prime is 213974707. The next prime is 213974723. The reversal of 213974712 is 217479312.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 229864 + ... + 230792.

It is an arithmetic number, because the mean of its divisors is an integer number (6921525).

Almost surely, 2213974712 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 213974712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332233200).

213974712 is an abundant number, since it is smaller than the sum of its proper divisors (450491688).

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

213974712 is a wasteful number, since it uses less digits than its factorization.

213974712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1398 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 213974712 is about 14627.8744867462. The cubic root of 213974712 is about 598.1188415688.

The spelling of 213974712 in words is "two hundred thirteen million, nine hundred seventy-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 457 504 914 929 1371 1828 1858 2742 2787 3199 3656 3716 4113 5484 5574 6398 6503 7432 8226 8361 9597 10968 11148 12796 13006 16452 16722 19194 19509 22296 25592 26012 28791 32904 33444 38388 39018 52024 57582 58527 66888 76776 78036 115164 117054 156072 230328 234108 424553 468216 849106 1273659 1698212 2547318 2971871 3396424 3820977 5094636 5943742 7641954 8915613 10189272 11887484 15283908 17831226 23774968 26746839 30567816 35662452 53493678 71324904 106987356 213974712