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22450011320 = 23511349146197
BaseRepresentation
bin10100111010000111…
…111111110010111000
32010221120122201221202
4110322013333302320
5331434200330240
614151405353332
71423221643022
oct247207776270
963846581852
1022450011320
11958049a870
124426568848
13216a153b89
14112d843012
158b5dc0315
hex53a1ffcb8

22450011320 has 64 divisors (see below), whose sum is σ = 55262844000. Its totient is φ = 8140193280.

The previous prime is 22450011319. The next prime is 22450011329. The reversal of 22450011320 is 2311005422.

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 = 22450011292 and 22450011301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22450011329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80462 + ... + 226658.

Almost surely, 222450011320 is an apocalyptic number.

22450011320 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 22450011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27631422000).

22450011320 is an abundant number, since it is smaller than the sum of its proper divisors (32812832680).

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

22450011320 is a wasteful number, since it uses less digits than its factorization.

22450011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146568 (or 146564 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 22450011320 its reverse (2311005422), we get a palindrome (24761016742).

The spelling of 22450011320 in words is "twenty-two billion, four hundred fifty million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 349 440 698 1396 1745 2792 3490 3839 6980 7678 13960 15356 19195 30712 38390 76780 146197 153560 292394 584788 730985 1169576 1461970 1608167 2923940 3216334 5847880 6432668 8040835 12865336 16081670 32163340 51022753 64326680 102045506 204091012 255113765 408182024 510227530 561250283 1020455060 1122500566 2040910120 2245001132 2806251415 4490002264 5612502830 11225005660 22450011320