Search a number
-
+
2172352820 = 2251117580843
BaseRepresentation
bin1000000101111011…
…0111100100110100
312121101122221211212
42001132313210310
513422110242240
6555321020552
7104555460101
oct20136674464
95541587755
102172352820
11a15266910
12507624758
132880a1591
14168721aa8
15caaaa165
hex817b7934

2172352820 has 48 divisors (see below), whose sum is σ = 5269416768. Its totient is φ = 743477760.

The previous prime is 2172352813. The next prime is 2172352873. The reversal of 2172352820 is 282532712.

2172352820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286682 + ... + 294161.

It is an arithmetic number, because the mean of its divisors is an integer number (109779516).

Almost surely, 22172352820 is an apocalyptic number.

2172352820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2172352820 is an abundant number, since it is smaller than the sum of its proper divisors (3097063948).

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

2172352820 is a wasteful number, since it uses less digits than its factorization.

2172352820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580880 (or 580878 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2172352820 is about 46608.5058760737. The cubic root of 2172352820 is about 1295.1203298989.

The spelling of 2172352820 in words is "two billion, one hundred seventy-two million, three hundred fifty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 580843 1161686 2323372 2904215 5808430 6389273 9874331 11616860 12778546 19748662 25557092 31946365 39497324 49371655 63892730 98743310 108617641 127785460 197486620 217235282 434470564 543088205 1086176410 2172352820