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22300011120 = 24351734915661
BaseRepresentation
bin10100110001001011…
…110010101001110000
32010120010101221100210
4110301023302221300
5331132300323440
614124450344120
71416420652452
oct246113625160
963503357323
1022300011120
119503858462
1243a428b040
132145054b6a
1411179582d2
158a7b40a80
hex5312f2a70

22300011120 has 160 divisors (see below), whose sum is σ = 73410926400. Its totient is φ = 5580472320.

The previous prime is 22300011113. The next prime is 22300011127. The reversal of 22300011120 is 2111000322.

It is an interprime number because it is at equal distance from previous prime (22300011113) and next prime (22300011127).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22300011096 and 22300011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22300011127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1416090 + ... + 1431750.

It is an arithmetic number, because the mean of its divisors is an integer number (458818290).

Almost surely, 222300011120 is an apocalyptic number.

22300011120 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 22300011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36705463200).

22300011120 is an abundant number, since it is smaller than the sum of its proper divisors (51110915280).

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

22300011120 is a wasteful number, since it uses less digits than its factorization.

22300011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16043 (or 16037 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22300011120 its reverse (2111000322), we get a palindrome (24411011442).

The spelling of 22300011120 in words is "twenty-two billion, three hundred million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 349 408 510 680 698 816 1020 1047 1360 1396 1745 2040 2094 2792 3490 4080 4188 5235 5584 5933 6980 8376 10470 11866 13960 15661 16752 17799 20940 23732 27920 29665 31322 35598 41880 46983 47464 59330 62644 71196 78305 83760 88995 93966 94928 118660 125288 142392 156610 177990 187932 234915 237320 250576 266237 284784 313220 355980 375864 469830 474640 532474 626440 711960 751728 798711 939660 1064948 1252880 1331185 1423920 1597422 1879320 2129896 2662370 3194844 3758640 3993555 4259792 5324740 5465689 6389688 7987110 10649480 10931378 12779376 15974220 16397067 21298960 21862756 27328445 31948440 32794134 43725512 54656890 63896880 65588268 81985335 87451024 92916713 109313780 131176536 163970670 185833426 218627560 262353072 278750139 327941340 371666852 437255120 464583565 557500278 655882680 743333704 929167130 1115000556 1311765360 1393750695 1486667408 1858334260 2230001112 2787501390 3716668520 4460002224 5575002780 7433337040 11150005560 22300011120