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2172312636 = 22313193671997
BaseRepresentation
bin1000000101111010…
…1101110000111100
312121101120220201120
42001132231300330
513422103001021
6555320110540
7104555231664
oct20136556074
95541526646
102172312636
11a152396aa
12507605450
132880891c0
141687111a4
15caa9d2c6
hex817adc3c

2172312636 has 96 divisors (see below), whose sum is σ = 5764469760. Its totient is φ = 631183104.

The previous prime is 2172312619. The next prime is 2172312641. The reversal of 2172312636 is 6362132712.

2172312636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2172312597 and 2172312606.

It is a congruent number.

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, 1086790 + ... + 1088786.

It is an arithmetic number, because the mean of its divisors is an integer number (60046560).

Almost surely, 22172312636 is an apocalyptic number.

2172312636 is a gapful number since it is divisible by the number (26) 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 2172312636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882234880).

2172312636 is an abundant number, since it is smaller than the sum of its proper divisors (3592157124).

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

2172312636 is a wasteful number, since it uses less digits than its factorization.

2172312636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2401 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 2172312636 is about 46608.0747939668. The cubic root of 2172312636 is about 1295.1123441740.

The spelling of 2172312636 in words is "two billion, one hundred seventy-two million, three hundred twelve thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 367 494 734 741 988 1101 1468 1482 1997 2202 2964 3994 4404 4771 5991 6973 7988 9542 11982 13946 14313 19084 20919 23964 25961 27892 28626 37943 41838 51922 57252 75886 77883 83676 90649 103844 113829 151772 155766 181298 227658 271947 311532 362596 455316 493259 543894 732899 986518 1087788 1465798 1479777 1973036 2198697 2931596 2959554 4397394 5919108 8794788 9527687 13925081 19055374 27850162 28583061 38110748 41775243 55700324 57166122 83550486 114332244 167100972 181026053 362052106 543078159 724104212 1086156318 2172312636