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213522738 = 231113248861
BaseRepresentation
bin11001011101000…
…01100100110010
3112212210002010120
430232201210302
5414130211423
633104311110
75201625162
oct1456414462
9485702116
10213522738
11aa589880
125b612496
1335310420
14205025a2
1513b2aee3
hexcba1932

213522738 has 32 divisors (see below), whose sum is σ = 501705792. Its totient is φ = 59726400.

The previous prime is 213522719. The next prime is 213522763. The reversal of 213522738 is 837225312.

213522738 is digitally balanced in base 3, 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 (33).

It is a junction number, because it is equal to n+sod(n) for n = 213522699 and 213522708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123573 + ... + 125288.

It is an arithmetic number, because the mean of its divisors is an integer number (15678306).

Almost surely, 2213522738 is an apocalyptic number.

213522738 is an abundant number, since it is smaller than the sum of its proper divisors (288183054).

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

213522738 is a wasteful number, since it uses less digits than its factorization.

213522738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248890.

The product of its digits is 20160, while the sum is 33.

The square root of 213522738 is about 14612.4172538290. The cubic root of 213522738 is about 597.6974136865.

It can be divided in two parts, 21352 and 2738, that added together give a triangular number (24090 = T219).

The spelling of 213522738 in words is "two hundred thirteen million, five hundred twenty-two thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 248861 497722 746583 1493166 2737471 3235193 5474942 6470386 8212413 9705579 16424826 19411158 35587123 71174246 106761369 213522738