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22010541104 = 24172329121321
BaseRepresentation
bin10100011111111011…
…100011010000110000
32002210221201100011002
4110133323203100300
5330034144303404
614040030141132
71406304340526
oct243773432060
962727640132
1022010541104
119375416342
1243233517a8
1320ca0a2c26
1410cb326316
1588c511c1e
hex51fee3430

22010541104 has 80 divisors (see below), whose sum is σ = 48742326720. Its totient is φ = 9565839360.

The previous prime is 22010541071. The next prime is 22010541109. The reversal of 22010541104 is 40114501022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22010541109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120764 + ... + 242084.

It is an arithmetic number, because the mean of its divisors is an integer number (609279084).

Almost surely, 222010541104 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 22010541104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24371163360).

22010541104 is an abundant number, since it is smaller than the sum of its proper divisors (26731785616).

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

22010541104 is a wasteful number, since it uses less digits than its factorization.

22010541104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121398 (or 121392 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 22010541104 in words is "twenty-two billion, ten million, five hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 23 29 34 46 58 68 92 116 136 184 232 272 368 391 464 493 667 782 986 1334 1564 1972 2668 3128 3944 5336 6256 7888 10672 11339 22678 45356 90712 121321 181424 242642 485284 970568 1941136 2062457 2790383 3518309 4124914 5580766 7036618 8249828 11161532 14073236 16499656 22323064 28146472 32999312 44646128 47436511 56292944 59811253 80921107 94873022 119622506 161842214 189746044 239245012 323684428 379492088 478490024 647368856 758984176 956980048 1294737712 1375658819 2751317638 5502635276 11005270552 22010541104