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221362134 = 237173173137
BaseRepresentation
bin11010011000110…
…11011111010110
3120102112100202120
431030123133112
5423132042014
633544320410
75325355440
oct1514333726
9512470676
10221362134
11103a53714
1262173106
1336b26716
1421583490
1514678ba9
hexd31b7d6

221362134 has 128 divisors (see below), whose sum is σ = 564682752. Its totient is φ = 56401920.

The previous prime is 221362111. The next prime is 221362147. The reversal of 221362134 is 431263122.

221362134 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1615714 + ... + 1615850.

It is an arithmetic number, because the mean of its divisors is an integer number (4411584).

Almost surely, 2221362134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221362134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282341376).

221362134 is an abundant number, since it is smaller than the sum of its proper divisors (343320618).

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

221362134 is a wasteful number, since it uses less digits than its factorization.

221362134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270.

The product of its digits is 1728, while the sum is 24.

The square root of 221362134 is about 14878.2436463448. The cubic root of 221362134 is about 604.9244119303.

The spelling of 221362134 in words is "two hundred twenty-one million, three hundred sixty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 51 62 73 93 102 119 137 146 186 217 219 238 274 357 411 434 438 511 527 651 714 822 959 1022 1054 1241 1302 1533 1581 1918 2263 2329 2482 2877 3066 3162 3689 3723 4247 4526 4658 5754 6789 6987 7378 7446 8494 8687 10001 11067 12741 13578 13974 15841 16303 17374 20002 22134 25482 26061 29729 30003 31682 32606 38471 47523 48909 52122 59458 60006 70007 72199 76942 89187 95046 97818 115413 140014 144398 170017 178374 210021 216597 230826 269297 310031 340034 420042 433194 505393 510051 538594 620062 807891 930093 1010786 1020102 1190119 1516179 1615782 1860186 2170217 2380238 3032358 3570357 4340434 5270527 6510651 7140714 10541054 13021302 15811581 31623162 36893689 73787378 110681067 221362134