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2164223166324 = 22310715738328031
BaseRepresentation
bin11111011111100101110…
…000001100011101110100
321122220020102201002001120
4133133211300030131310
5240424312112310244
64334121433223540
7312234316246362
oct37374560143564
97586212632046
102164223166324
1176492961334a
122ab535b61bb0
1312911572b37b
1476a6b20a632
153b46a5c3819
hex1f7e5c0c774

2164223166324 has 96 divisors (see below), whose sum is σ = 5143090692096. Its totient is φ = 708234234240.

The previous prime is 2164223166311. The next prime is 2164223166331. The reversal of 2164223166324 is 4236613224612.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77194189 + ... + 77222219.

It is an arithmetic number, because the mean of its divisors is an integer number (53573861376).

Almost surely, 22164223166324 is an apocalyptic number.

It is an amenable number.

2164223166324 is an abundant number, since it is smaller than the sum of its proper divisors (2978867525772).

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

2164223166324 is a wasteful number, since it uses less digits than its factorization.

2164223166324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28685 (or 28683 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The spelling of 2164223166324 in words is "two trillion, one hundred sixty-four billion, two hundred twenty-three million, one hundred sixty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 107 157 214 314 321 383 428 471 628 642 766 942 1149 1284 1532 1884 2298 4596 16799 28031 33598 40981 50397 56062 60131 67196 81962 84093 100794 112124 120262 122943 163924 168186 180393 201588 240524 245886 336372 360786 491772 721572 2999317 4400867 5998634 6434017 8801734 8997951 10735873 11997268 12868034 13202601 17603468 17995902 19302051 21471746 25736068 26405202 32207619 35991804 38604102 42943492 52810404 64415238 77208204 128830476 470892769 941785538 1148738411 1412678307 1685532061 1883571076 2297476822 2825356614 3371064122 3446215233 4594953644 5056596183 5650713228 6742128244 6892430466 10113192366 13784860932 20226384732 180351930527 360703861054 541055791581 721407722108 1082111583162 2164223166324