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22111542160 = 2451019772801
BaseRepresentation
bin10100100101111100…
…110101101110010000
32010001222202201112221
4110211330311232100
5330241023322120
614054035030424
71411642002331
oct244574655620
963058681487
1022111542160
119417430994
12435113b414
132114ca7276
1410da8d8288
158963130aa
hex525f35b90

22111542160 has 80 divisors (see below), whose sum is σ = 51990034032. Its totient is φ = 8744960000.

The previous prime is 22111542157. The next prime is 22111542161. The reversal of 22111542160 is 6124511122.

It can be written as a sum of positive squares in 8 ways, for example, as 4927478416 + 17184063744 = 70196^2 + 131088^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22111542161) 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, 7892760 + ... + 7895560.

Almost surely, 222111542160 is an apocalyptic number.

22111542160 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 22111542160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25995017016).

22111542160 is an abundant number, since it is smaller than the sum of its proper divisors (29878491872).

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

22111542160 is a wasteful number, since it uses less digits than its factorization.

22111542160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The spelling of 22111542160 in words is "twenty-two billion, one hundred eleven million, five hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 977 1010 1616 1954 2020 2801 3908 4040 4885 5602 7816 8080 9770 11204 14005 15632 19540 22408 28010 39080 44816 56020 78160 98677 112040 197354 224080 282901 394708 493385 565802 789416 986770 1131604 1414505 1578832 1973540 2263208 2736577 2829010 3947080 4526416 5473154 5658020 7894160 10946308 11316040 13682885 21892616 22632080 27365770 43785232 54731540 109463080 218926160 276394277 552788554 1105577108 1381971385 2211154216 2763942770 4422308432 5527885540 11055771080 22111542160