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10221799392 = 253278276131
BaseRepresentation
bin10011000010100010…
…00100011111100000
3222101101010012200200
421201101010133200
5131413240040032
64410144345200
7511206601260
oct114121043740
928341105620
1010221799392
114375a371a2
121b93315200
13c6b937c0c
146cd7bb7a0
153ec5c147c
hex2614447e0

10221799392 has 144 divisors (see below), whose sum is σ = 33266443392. Its totient is φ = 2916506880.

The previous prime is 10221799351. The next prime is 10221799397. The reversal of 10221799392 is 29399712201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221799397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1664167 + ... + 1670297.

It is an arithmetic number, because the mean of its divisors is an integer number (231016968).

Almost surely, 210221799392 is an apocalyptic number.

10221799392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221799392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16633221696).

10221799392 is an abundant number, since it is smaller than the sum of its proper divisors (23044644000).

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

10221799392 is a wasteful number, since it uses less digits than its factorization.

10221799392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6981 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 10221799392 in words is "ten billion, two hundred twenty-one million, seven hundred ninety-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 827 1008 1654 2016 2481 3308 4962 5789 6131 6616 7443 9924 11578 12262 13232 14886 17367 18393 19848 23156 24524 26464 29772 34734 36786 39696 42917 46312 49048 52101 55179 59544 69468 73572 79392 85834 92624 98096 104202 110358 119088 128751 138936 147144 171668 185248 196192 208404 220716 238176 257502 277872 294288 343336 386253 416808 441432 515004 555744 588576 686672 772506 833616 882864 1030008 1373344 1545012 1667232 1765728 2060016 3090024 4120032 5070337 6180048 10140674 12360096 15211011 20281348 30422022 35492359 40562696 45633033 60844044 70984718 81125392 91266066 106477077 121688088 141969436 162250784 182532132 212954154 243376176 283938872 319431231 365064264 425908308 486752352 567877744 638862462 730128528 851816616 1135755488 1277724924 1460257056 1703633232 2555449848 3407266464 5110899696 10221799392