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2132227368 = 233331359887
BaseRepresentation
bin111111100010111…
…0011010100101000
312111121011101002000
41333011303110220
513331322233433
6551325011000
7103560430215
oct17705632450
95447141060
102132227368
119a464aa87
124b60b3a60
1327c9928cb
14163278b0c
15c72d1113
hex7f173528

2132227368 has 128 divisors (see below), whose sum is σ = 6137856000. Its totient is φ = 685126080.

The previous prime is 2132227303. The next prime is 2132227387. The reversal of 2132227368 is 8637222312.

2132227368 is a `hidden beast` number, since 2 + 1 + 322 + 273 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2403421 + ... + 2404307.

It is an arithmetic number, because the mean of its divisors is an integer number (47952000).

Almost surely, 22132227368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132227368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068928000).

2132227368 is an abundant number, since it is smaller than the sum of its proper divisors (4005628632).

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

2132227368 is a wasteful number, since it uses less digits than its factorization.

2132227368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1282 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2132227368 is about 46176.0475571481. The cubic root of 2132227368 is about 1287.0966831481.

The spelling of 2132227368 in words is "two billion, one hundred thirty-two million, two hundred twenty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 359 372 558 718 744 837 887 1077 1116 1436 1674 1774 2154 2232 2661 2872 3231 3348 3548 4308 5322 6462 6696 7096 7983 8616 9693 10644 11129 12924 15966 19386 21288 22258 23949 25848 27497 31932 33387 38772 44516 47898 54994 63864 66774 77544 82491 89032 95796 100161 109988 133548 164982 191592 200322 219976 247473 267096 300483 318433 329964 400644 494946 600966 636866 659928 742419 801288 955299 989892 1201932 1273732 1484838 1910598 1979784 2403864 2547464 2865897 2969676 3821196 5731794 5939352 7642392 8597691 9871423 11463588 17195382 19742846 22927176 29614269 34390764 39485692 59228538 68781528 78971384 88842807 118457076 177685614 236914152 266528421 355371228 533056842 710742456 1066113684 2132227368