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22102202320 = 2451125116139
BaseRepresentation
bin10100100101011001…
…001101011111010000
32010001100012012200221
4110211121031133100
5330231130433240
614053102522424
71411466422432
oct244531153720
963040165627
1022102202320
119412131810
124349b96414
132113087033
1410d9586652
158955baa4a
hex52564d7d0

22102202320 has 40 divisors (see below), whose sum is σ = 56059224480. Its totient is φ = 8037164160.

The previous prime is 22102202267. The next prime is 22102202321. The reversal of 22102202320 is 2320220122.

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 = 22102202294 and 22102202303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102202321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12557190 + ... + 12558949.

It is an arithmetic number, because the mean of its divisors is an integer number (1401480612).

Almost surely, 222102202320 is an apocalyptic number.

22102202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102202320 is an abundant number, since it is smaller than the sum of its proper divisors (33957022160).

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

22102202320 is a wasteful number, since it uses less digits than its factorization.

22102202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25116163 (or 25116157 counting only the distinct ones).

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

Adding to 22102202320 its reverse (2320220122), we get a palindrome (24422422442).

It can be divided in two parts, 22102 and 202320, that added together give a palindrome (224422).

The spelling of 22102202320 in words is "twenty-two billion, one hundred two million, two hundred 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 25116139 50232278 100464556 125580695 200929112 251161390 276277529 401858224 502322780 552555058 1004645560 1105110116 1381387645 2009291120 2210220232 2762775290 4420440464 5525550580 11051101160 22102202320