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22329060880 = 2457254110529
BaseRepresentation
bin10100110010111010…
…100110111000010000
32010122011001211010211
4110302322212320100
5331212214422010
614131405133504
71420222612600
oct246272467020
963564054124
1022329060880
119519199a25
1243b1b5a294
13214b086479
14111b75ac00
158aa47d08a
hex532ea6e10

22329060880 has 120 divisors (see below), whose sum is σ = 60508370520. Its totient is φ = 7640801280.

The previous prime is 22329060857. The next prime is 22329060899. The reversal of 22329060880 is 8806092322.

It can be written as a sum of positive squares in 4 ways, for example, as 3993734416 + 18335326464 = 63196^2 + 135408^2 .

It is a super-3 number, since 3×223290608803 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2115456 + ... + 2125984.

It is an arithmetic number, because the mean of its divisors is an integer number (504236421).

Almost surely, 222329060880 is an apocalyptic number.

22329060880 is a gapful number since it is divisible by the number (20) 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 22329060880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30254185260).

22329060880 is an abundant number, since it is smaller than the sum of its proper divisors (38179309640).

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

22329060880 is a wasteful number, since it uses less digits than its factorization.

22329060880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11097 (or 11084 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 22329060880 in words is "twenty-two billion, three hundred twenty-nine million, sixty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 541 560 784 980 1082 1960 2164 2705 3787 3920 4328 5410 7574 8656 10529 10820 15148 18935 21058 21640 26509 30296 37870 42116 43280 52645 53018 60592 73703 75740 84232 105290 106036 132545 147406 151480 168464 210580 212072 265090 294812 302960 368515 421160 424144 515921 530180 589624 737030 842320 1031842 1060360 1179248 1474060 2063684 2120720 2579605 2948120 4127368 5159210 5696189 5896240 8254736 10318420 11392378 20636840 22784756 28480945 39873323 41273680 45569512 56961890 79746646 91139024 113923780 159493292 199366615 227847560 279113261 318986584 398733230 455695120 558226522 637973168 797466460 1116453044 1395566305 1594932920 2232906088 2791132610 3189865840 4465812176 5582265220 11164530440 22329060880