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213529734 = 232111576869
BaseRepresentation
bin11001011101000…
…11010010000110
3112212210102201200
430232203102012
5414130422414
633104403330
75201654445
oct1456432206
9485712650
10213529734
11aa594060
125b616546
1335313672
1420504d5c
1513b2d109
hexcba3486

213529734 has 48 divisors (see below), whose sum is σ = 507995280. Its totient is φ = 64284480.

The previous prime is 213529727. The next prime is 213529759. The reversal of 213529734 is 437925312.

It is a super-2 number, since 2×2135297342 = 91189894604221512, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 27652 + ... + 34520.

It is an arithmetic number, because the mean of its divisors is an integer number (10583235).

Almost surely, 2213529734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213529734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253997640).

213529734 is an abundant number, since it is smaller than the sum of its proper divisors (294465546).

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

213529734 is a wasteful number, since it uses less digits than its factorization.

213529734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7045 (or 7042 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 213529734 is about 14612.6566373127. The cubic root of 213529734 is about 597.7039413994.

The spelling of 213529734 in words is "two hundred thirteen million, five hundred twenty-nine thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 157 198 314 471 942 1413 1727 2826 3454 5181 6869 10362 13738 15543 20607 31086 41214 61821 75559 123642 151118 226677 453354 680031 1078433 1360062 2156866 3235299 6470598 9705897 11862763 19411794 23725526 35588289 71176578 106764867 213529734