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213531984 = 2433494287
BaseRepresentation
bin11001011101000…
…11110101010000
3112212210112211000
430232203311100
5414131010414
633104422000
75201664141
oct1456436520
9485715730
10213531984
11aa595816
125b617900
13353146b3
1420505ac8
1513b2db09
hexcba3d50

213531984 has 40 divisors (see below), whose sum is σ = 612917120. Its totient is φ = 71177184.

The previous prime is 213531979. The next prime is 213531991. The reversal of 213531984 is 489135312.

213531984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246712 + ... + 247575.

It is an arithmetic number, because the mean of its divisors is an integer number (15322928).

Almost surely, 2213531984 is an apocalyptic number.

213531984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213531984 is an abundant number, since it is smaller than the sum of its proper divisors (399385136).

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

213531984 is a wasteful number, since it uses less digits than its factorization.

213531984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494304 (or 494292 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 213531984 is about 14612.7336251640. The cubic root of 213531984 is about 597.7060407622.

The spelling of 213531984 in words is "two hundred thirteen million, five hundred thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 494287 988574 1482861 1977148 2965722 3954296 4448583 5931444 7908592 8897166 11862888 13345749 17794332 23725776 26691498 35588664 53382996 71177328 106765992 213531984