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2162655220 = 2251115165101
BaseRepresentation
bin1000000011100111…
…0111111111110100
312120201102021020111
42000321313333310
513412114431340
6554333112404
7104410160155
oct20071677764
95521367214
102162655220
11a0a842970
12504328704
1328608755b
1416731992c
15c9ce1aea
hex80e77ff4

2162655220 has 48 divisors (see below), whose sum is σ = 4987334016. Its totient is φ = 781200000.

The previous prime is 2162655203. The next prime is 2162655223. The reversal of 2162655220 is 225562612.

It is a happy number.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162655223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670 + ... + 65770.

It is an arithmetic number, because the mean of its divisors is an integer number (103902792).

Almost surely, 22162655220 is an apocalyptic number.

2162655220 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 2162655220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493667008).

2162655220 is an abundant number, since it is smaller than the sum of its proper divisors (2824678796).

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

2162655220 is a wasteful number, since it uses less digits than its factorization.

2162655220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65272 (or 65270 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 2162655220 is about 46504.3570001780. The cubic root of 2162655220 is about 1293.1902728773.

The spelling of 2162655220 in words is "two billion, one hundred sixty-two million, six hundred fifty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 1510 1661 3020 3322 6644 8305 16610 33220 65101 130202 260404 325505 651010 716111 1302020 1432222 2864444 3580555 7161110 9830251 14322220 19660502 39321004 49151255 98302510 108132761 196605020 216265522 432531044 540663805 1081327610 2162655220