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22120022320 = 2451125136389
BaseRepresentation
bin10100100110011101…
…001100000100110000
32010002120201120010221
4110212131030010300
5330300211203240
614054540502424
71412104041664
oct244635140460
963076646127
1022120022320
1194211a3190
124353b4aa14
132116986106
1410dbaa48a4
15896e3aa4a
hex52674c130

22120022320 has 40 divisors (see below), whose sum is σ = 56104422480. Its totient is φ = 8043644160.

The previous prime is 22120022303. The next prime is 22120022321. The reversal of 22120022320 is 2322002122.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 22120022294 and 22120022303.

It is not an unprimeable number, because it can be changed into a prime (22120022321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12567315 + ... + 12569074.

It is an arithmetic number, because the mean of its divisors is an integer number (1402610562).

Almost surely, 222120022320 is an apocalyptic number.

22120022320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120022320 is an abundant number, since it is smaller than the sum of its proper divisors (33984400160).

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

22120022320 is a wasteful number, since it uses less digits than its factorization.

22120022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25136413 (or 25136407 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22120022320 its reverse (2322002122), we get a palindrome (24442024442).

The spelling of 22120022320 in words is "twenty-two billion, one hundred twenty million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 25136389 50272778 100545556 125681945 201091112 251363890 276500279 402182224 502727780 553000558 1005455560 1106001116 1382501395 2010911120 2212002232 2765002790 4424004464 5530005580 11060011160 22120022320