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213364074 = 237111373371
BaseRepresentation
bin11001011011110…
…10110101101010
3112212111000111010
430231322311222
5414110122244
633101044350
75200364460
oct1455726552
9485430433
10213364074
11aa490650
125b5566b6
1335286141
14204a0830
1513ae8eb9
hexcb7ad6a

213364074 has 64 divisors (see below), whose sum is σ = 536067072. Its totient is φ = 54998400.

The previous prime is 213364037. The next prime is 213364117. The reversal of 213364074 is 470463312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61609 + ... + 64979.

It is an arithmetic number, because the mean of its divisors is an integer number (8376048).

Almost surely, 2213364074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213364074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268033536).

213364074 is an abundant number, since it is smaller than the sum of its proper divisors (322702998).

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

213364074 is a wasteful number, since it uses less digits than its factorization.

213364074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531.

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 213364074 is about 14606.9871636830. The cubic root of 213364074 is about 597.5493317812.

The spelling of 213364074 in words is "two hundred thirteen million, three hundred sixty-four thousand, seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 137 154 231 274 411 462 822 959 1507 1918 2877 3014 3371 4521 5754 6742 9042 10113 10549 20226 21098 23597 31647 37081 47194 63294 70791 74162 111243 141582 222486 259567 461827 519134 778701 923654 1385481 1557402 2770962 3232789 5080097 6465578 9698367 10160194 15240291 19396734 30480582 35560679 71121358 106682037 213364074