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22245162060 = 22351146772173
BaseRepresentation
bin10100101101111010…
…100011110001001100
32010102022012022121010
4110231322203301030
5331024230141220
614115211005220
71415153520612
oct245572436114
963368168533
1022245162060
1194858a5560
124389a39810
13213688c5b4
14111055b6b2
158a2e091e0
hex52dea3c4c

22245162060 has 96 divisors (see below), whose sum is σ = 68095302912. Its totient is φ = 5381144320.

The previous prime is 22245162053. The next prime is 22245162073. The reversal of 22245162060 is 6026154222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272134 + ... + 344306.

It is an arithmetic number, because the mean of its divisors is an integer number (709326072).

Almost surely, 222245162060 is an apocalyptic number.

22245162060 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 22245162060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34047651456).

22245162060 is an abundant number, since it is smaller than the sum of its proper divisors (45850140852).

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

22245162060 is a wasteful number, since it uses less digits than its factorization.

22245162060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72663 (or 72661 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 22245162060 in words is "twenty-two billion, two hundred forty-five million, one hundred sixty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 467 660 934 1401 1868 2335 2802 4670 5137 5604 7005 9340 10274 14010 15411 20548 25685 28020 30822 51370 61644 72173 77055 102740 144346 154110 216519 288692 308220 360865 433038 721730 793903 866076 1082595 1443460 1587806 2165190 2381709 3175612 3969515 4330380 4763418 7939030 9526836 11908545 15878060 23817090 33704791 47634180 67409582 101114373 134819164 168523955 202228746 337047910 370752701 404457492 505571865 674095820 741505402 1011143730 1112258103 1483010804 1853763505 2022287460 2224516206 3707527010 4449032412 5561290515 7415054020 11122581030 22245162060