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22307970880 = 2651322923417
BaseRepresentation
bin10100110001101010…
…001001111101000000
32010120200101100002201
4110301222021331000
5331141320032010
614125333122544
71416545423656
oct246152117500
963520340081
1022307970880
1195082a4778
1243a6a89454
1321468b0b90
141118a2add6
158a86b423a
hex531a89f40

22307970880 has 112 divisors (see below), whose sum is σ = 57459341520. Its totient is φ = 8200470528.

The previous prime is 22307970827. The next prime is 22307970929. The reversal of 22307970880 is 8807970322.

It can be written as a sum of positive squares in 8 ways, for example, as 44943616 + 22263027264 = 6704^2 + 149208^2 .

It is a super-3 number, since 3×223079708803 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22307970880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940932 + ... + 964348.

It is an arithmetic number, because the mean of its divisors is an integer number (513029835).

Almost surely, 222307970880 is an apocalyptic number.

22307970880 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 22307970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28729670760).

22307970880 is an abundant number, since it is smaller than the sum of its proper divisors (35151370640).

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

22307970880 is a wasteful number, since it uses less digits than its factorization.

22307970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23676 (or 23666 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 22307970880 in words is "twenty-two billion, three hundred seven million, nine hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 229 260 320 416 458 520 832 916 1040 1145 1832 2080 2290 2977 3664 4160 4580 5954 7328 9160 11908 14656 14885 18320 23417 23816 29770 36640 46834 47632 59540 73280 93668 95264 117085 119080 187336 190528 234170 238160 304421 374672 468340 476320 608842 749344 936680 952640 1217684 1498688 1522105 1873360 2435368 3044210 3746720 4870736 5362493 6088420 7493440 9741472 10724986 12176840 19482944 21449972 24353680 26812465 42899944 48707360 53624930 69712409 85799888 97414720 107249860 139424818 171599776 214499720 278849636 343199552 348562045 428999440 557699272 697124090 857998880 1115398544 1394248180 1715997760 2230797088 2788496360 4461594176 5576992720 11153985440 22307970880