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22303032320 = 210529150209
BaseRepresentation
bin10100110001010111…
…010100010000000000
32010120100002102200002
4110301113110100000
5331134034013240
614125035215132
71416455434562
oct246127242000
963510072602
1022303032320
119505531318
1243a52a74a8
13214587205a
141118103332
158a803ad15
hex5315d4400

22303032320 has 88 divisors (see below), whose sum is σ = 55346376600. Its totient is φ = 8613527552.

The previous prime is 22303032319. The next prime is 22303032331. The reversal of 22303032320 is 2323030322.

It can be written as a sum of positive squares in 4 ways, for example, as 1961426944 + 20341605376 = 44288^2 + 142624^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22303032292 and 22303032301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73376 + ... + 223584.

Almost surely, 222303032320 is an apocalyptic number.

22303032320 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 22303032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27673188300).

22303032320 is an abundant number, since it is smaller than the sum of its proper divisors (33043344280).

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

22303032320 is a wasteful number, since it uses less digits than its factorization.

22303032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150263 (or 150245 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 22303032320 its reverse (2323030322), we get a palindrome (24626062642).

The spelling of 22303032320 in words is "twenty-two billion, three hundred three million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1024 1160 1280 1856 2320 2560 3712 4640 5120 7424 9280 14848 18560 29696 37120 74240 148480 150209 300418 600836 751045 1201672 1502090 2403344 3004180 4356061 4806688 6008360 8712122 9613376 12016720 17424244 19226752 21780305 24033440 34848488 38453504 43560610 48066880 69696976 76907008 87121220 96133760 139393952 153814016 174242440 192267520 278787904 348484880 384535040 557575808 696969760 769070080 1115151616 1393939520 2230303232 2787879040 4460606464 5575758080 11151516160 22303032320