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36222420668 = 227431311791283
BaseRepresentation
bin100001101111000001…
…100100011010111100
310110111101212121211212
4201233001210122330
51043140414430133
624350152103552
72421424331660
oct415701443274
9113441777755
1036222420668
11143a8680855
12702a994bb8
133553568315
141a789d48a0
15e20049148
hex86f0646bc

36222420668 has 96 divisors (see below), whose sum is σ = 75171317760. Its totient is φ = 14951401920.

The previous prime is 36222420653. The next prime is 36222420671. The reversal of 36222420668 is 86602422263.

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 31 ways as a sum of consecutive naturals, for example, 28231955 + ... + 28233237.

It is an arithmetic number, because the mean of its divisors is an integer number (783034560).

Almost surely, 236222420668 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 36222420668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37585658880).

36222420668 is an abundant number, since it is smaller than the sum of its proper divisors (38948897092).

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

36222420668 is a wasteful number, since it uses less digits than its factorization.

36222420668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 36222420668 in words is "thirty-six billion, two hundred twenty-two million, four hundred twenty thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 28 43 86 131 172 179 262 301 358 524 602 716 917 1204 1253 1283 1834 2506 2566 3668 5012 5132 5633 7697 8981 11266 15394 17962 22532 23449 30788 35924 39431 46898 53879 55169 78862 93796 107758 110338 157724 164143 168073 215516 220676 229657 328286 336146 386183 459314 656572 672292 772366 918628 1008307 1176511 1544732 1607599 2016614 2353022 3215198 4033228 4706044 6430396 7058149 7227139 9875251 14116298 14454278 19750502 28232596 28908556 30085067 39501004 50589973 60170134 69126757 101179946 120340268 138253514 202359892 210595469 276507028 421190938 842381876 1293657881 2587315762 5174631524 9055605167 18111210334 36222420668