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213057174 = 231137432029
BaseRepresentation
bin11001011001011…
…11111010010110
3112211220102111110
430230233322112
5414020312144
633050315450
75164645641
oct1454577226
9484812443
10213057174
11aa2a1010
125b428b86
13351a9545
1420420a58
1513a880b9
hexcb2fe96

213057174 has 64 divisors (see below), whose sum is σ = 488759040. Its totient is φ = 61326720.

The previous prime is 213057121. The next prime is 213057179. The reversal of 213057174 is 471750312.

It is a super-3 number, since 3×2130571743 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213057179) by changing a digit.

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, 103992 + ... + 106020.

It is an arithmetic number, because the mean of its divisors is an integer number (7636860).

Almost surely, 2213057174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213057174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244379520).

213057174 is an abundant number, since it is smaller than the sum of its proper divisors (275701866).

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

213057174 is a wasteful number, since it uses less digits than its factorization.

213057174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 213057174 is about 14596.4781368658. The cubic root of 213057174 is about 597.2626920104.

The spelling of 213057174 in words is "two hundred thirteen million, fifty-seven thousand, one hundred seventy-four".

Divisors: 1 2 3 6 11 22 33 37 43 66 74 86 111 129 222 258 407 473 814 946 1221 1419 1591 2029 2442 2838 3182 4058 4773 6087 9546 12174 17501 22319 35002 44638 52503 66957 75073 87247 105006 133914 150146 174494 225219 261741 450438 523482 825803 959717 1651606 1919434 2477409 2879151 3228139 4954818 5758302 6456278 9684417 19368834 35509529 71019058 106528587 213057174