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2116717220 = 225337509617
BaseRepresentation
bin111111000101010…
…1000101010100100
312110111222101011002
41332022220222210
513313334422340
6550012332432
7103311541142
oct17612505244
95414871132
102116717220
11996916a82
124b0a74118
132796c1cc7
1416119c592
15c5c6a715
hex7e2a8aa4

2116717220 has 48 divisors (see below), whose sum is σ = 4474295280. Its totient is φ = 841150464.

The previous prime is 2116717193. The next prime is 2116717223. The reversal of 2116717220 is 227176112.

It can be written as a sum of positive squares in 8 ways, for example, as 220463104 + 1896254116 = 14848^2 + 43546^2 .

It is not an unprimeable number, because it can be changed into a prime (2116717223) 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, 3430352 + ... + 3430968.

It is an arithmetic number, because the mean of its divisors is an integer number (93214485).

Almost surely, 22116717220 is an apocalyptic number.

2116717220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2116717220 is an abundant number, since it is smaller than the sum of its proper divisors (2357578060).

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

2116717220 is a wasteful number, since it uses less digits than its factorization.

2116717220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 2116717220 is about 46007.7952090730. The cubic root of 2116717220 is about 1283.9682392030.

The spelling of 2116717220 in words is "two billion, one hundred sixteen million, seven hundred seventeen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 337 509 617 674 1018 1234 1348 1685 2036 2468 2545 3085 3370 5090 6170 6740 10180 12340 171533 207929 314053 343066 415858 628106 686132 831716 857665 1039645 1256212 1570265 1715330 2079290 3140530 3430660 4158580 6281060 105835861 211671722 423343444 529179305 1058358610 2116717220