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22223011120 = 2451377432729
BaseRepresentation
bin10100101100100110…
…000011110100110000
32010100202111221012221
4110230212003310300
5331003042323440
614113100130424
71414464322612
oct245446036460
963322457187
1022223011120
1194743461a2
124382536a14
13213210512b
14110b632db2
158a0ed0d4a
hex52c983d30

22223011120 has 80 divisors (see below), whose sum is σ = 52134788160. Its totient is φ = 8809213952.

The previous prime is 22223011117. The next prime is 22223011121. The reversal of 22223011120 is 2111032222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22223011094 and 22223011103.

It is not an unprimeable number, because it can be changed into a prime (22223011121) 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, 8141916 + ... + 8144644.

It is an arithmetic number, because the mean of its divisors is an integer number (651684852).

Almost surely, 222223011120 is an apocalyptic number.

22223011120 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 22223011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26067394080).

22223011120 is an abundant number, since it is smaller than the sum of its proper divisors (29911777040).

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

22223011120 is a wasteful number, since it uses less digits than its factorization.

22223011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22223011120 its reverse (2111032222), we get a palindrome (24334043342).

The spelling of 22223011120 in words is "twenty-two billion, two hundred twenty-three million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 743 1096 1370 1486 2192 2729 2740 2972 3715 5458 5480 5944 7430 10916 10960 11888 13645 14860 21832 27290 29720 43664 54580 59440 101791 109160 203582 218320 373873 407164 508955 747746 814328 1017910 1495492 1628656 1869365 2027647 2035820 2990984 3738730 4055294 4071640 5981968 7477460 8110588 8143280 10138235 14954920 16221176 20276470 29909840 32442352 40552940 81105880 162211760 277787639 555575278 1111150556 1388938195 2222301112 2777876390 4444602224 5555752780 11111505560 22223011120