Search a number
-
+
22221012320 = 255132839901
BaseRepresentation
bin10100101100011110…
…011011110101100000
32010100121202101101022
4110230132123311200
5331002034343240
614112545225012
71414441326323
oct245436336540
963317671338
1022221012320
1194732004a1
124381932168
132131885400
14110b2727ba
158a0c389b5
hex52c79bd60

22221012320 has 144 divisors (see below), whose sum is σ = 57536719632. Its totient is φ = 8105011200.

The previous prime is 22221012313. The next prime is 22221012329. The reversal of 22221012320 is 2321012222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221012329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2239370 + ... + 2249270.

It is an arithmetic number, because the mean of its divisors is an integer number (399560553).

Almost surely, 222221012320 is an apocalyptic number.

22221012320 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 22221012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28768359816).

22221012320 is an abundant number, since it is smaller than the sum of its proper divisors (35315707312).

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

22221012320 is a wasteful number, since it uses less digits than its factorization.

22221012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10025 (or 10004 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22221012320 its reverse (2321012222), we get a palindrome (24542024542).

The spelling of 22221012320 in words is "twenty-two billion, two hundred twenty-one million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 83 104 130 160 166 169 208 260 332 338 415 416 520 664 676 830 845 1040 1079 1328 1352 1660 1690 2080 2158 2656 2704 3320 3380 4316 5395 5408 6640 6760 8632 9901 10790 13280 13520 14027 17264 19802 21580 27040 28054 34528 39604 43160 49505 56108 70135 79208 86320 99010 112216 128713 140270 158416 172640 198020 224432 257426 280540 316832 396040 448864 514852 561080 643565 792080 821783 1029704 1122160 1287130 1584160 1643566 1673269 2059408 2244320 2574260 3287132 3346538 4108915 4118816 5148520 6574264 6693076 8217830 8366345 10297040 10683179 13148528 13386152 16435660 16732690 20594080 21366358 26297056 26772304 32871320 33465380 42732716 53415895 53544608 65742640 66930760 85465432 106831790 131485280 133861520 138881327 170930864 213663580 267723040 277762654 341861728 427327160 555525308 694406635 854654320 1111050616 1388813270 1709308640 2222101232 2777626540 4444202464 5555253080 11110506160 22221012320