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2106571220 = 2251373110989
BaseRepresentation
bin111110110001111…
…1011100111010100
312102210212220110022
41331203323213110
513303240234340
6545011044312
7103126363025
oct17543734724
95383786408
102106571220
11991117156
124a95a0698
1327757bb60
1415dabac4c
15c4e143b5
hex7d8fb9d4

2106571220 has 48 divisors (see below), whose sum is σ = 4829396880. Its totient is φ = 767149056.

The previous prime is 2106571217. The next prime is 2106571237. The reversal of 2106571220 is 221756012.

It can be written as a sum of positive squares in 8 ways, for example, as 35593156 + 2070978064 = 5966^2 + 45508^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2106571220.

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, 36515 + ... + 74474.

It is an arithmetic number, because the mean of its divisors is an integer number (100612435).

Almost surely, 22106571220 is an apocalyptic number.

2106571220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106571220 is an abundant number, since it is smaller than the sum of its proper divisors (2722825660).

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

2106571220 is a wasteful number, since it uses less digits than its factorization.

2106571220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111084 (or 111082 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 2106571220 is about 45897.3988369711. The cubic root of 2106571220 is about 1281.9134833064.

The spelling of 2106571220 in words is "two billion, one hundred six million, five hundred seventy-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1460 1898 3796 4745 9490 18980 110989 221978 443956 554945 1109890 1442857 2219780 2885714 5771428 7214285 8102197 14428570 16204394 28857140 32408788 40510985 81021970 105328561 162043940 210657122 421314244 526642805 1053285610 2106571220