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22331031320 = 23513210132707
BaseRepresentation
bin10100110011000010…
…000111111100011000
32010122021202221002002
4110303002013330120
5331213221000240
614131515300132
71420245430403
oct246302077430
963567687062
1022331031320
11951a315394
1243b274a648
13214b5c6300
14111bb10d3a
158aa71bd15
hex533087f18

22331031320 has 96 divisors (see below), whose sum is σ = 54947477520. Its totient is φ = 8163417600.

The previous prime is 22331031301. The next prime is 22331031329. The reversal of 22331031320 is 2313013322.

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 = 22331031292 and 22331031301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22331031329) 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, 666407 + ... + 699113.

Almost surely, 222331031320 is an apocalyptic number.

22331031320 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 22331031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27473738760).

22331031320 is an abundant number, since it is smaller than the sum of its proper divisors (32616446200).

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

22331031320 is a wasteful number, since it uses less digits than its factorization.

22331031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32845 (or 32828 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 22331031320 its reverse (2313013322), we get a palindrome (24644044642).

The spelling of 22331031320 in words is "twenty-two billion, three hundred thirty-one million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 130 169 202 260 338 404 505 520 676 808 845 1010 1313 1352 1690 2020 2626 3380 4040 5252 6565 6760 10504 13130 17069 26260 32707 34138 52520 65414 68276 85345 130828 136552 163535 170690 261656 327070 341380 425191 654140 682760 850382 1308280 1700764 2125955 3303407 3401528 4251910 5527483 6606814 8503820 11054966 13213628 16517035 17007640 22109932 26427256 27637415 33034070 42944291 44219864 55274830 66068140 85888582 110549660 132136280 171777164 214721455 221099320 343554328 429442910 558275783 858885820 1116551566 1717771640 2233103132 2791378915 4466206264 5582757830 11165515660 22331031320