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2166515020 = 2251737172219
BaseRepresentation
bin1000000100100010…
…0110010101001100
312120222200100220001
42001020212111030
513414111440040
6554551534044
7104455034215
oct20110462514
95528610801
102166515020
11a11a3988a
1250568a324
13286b09367
14167a4240c
15ca30559a
hex8122654c

2166515020 has 48 divisors (see below), whose sum is σ = 4947536160. Its totient is φ = 793580544.

The previous prime is 2166515017. The next prime is 2166515023. The reversal of 2166515020 is 205156612.

It is an interprime number because it is at equal distance from previous prime (2166515017) and next prime (2166515023).

It is a self number, because there is not a number n which added to its sum of digits gives 2166515020.

It is not an unprimeable number, because it can be changed into a prime (2166515023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73530 + ... + 98689.

It is an arithmetic number, because the mean of its divisors is an integer number (103073670).

Almost surely, 22166515020 is an apocalyptic number.

2166515020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166515020 is an abundant number, since it is smaller than the sum of its proper divisors (2781021140).

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

2166515020 is a wasteful number, since it uses less digits than its factorization.

2166515020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172282 (or 172280 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 2166515020 is about 46545.8378375554. The cubic root of 2166515020 is about 1293.9591563018.

The spelling of 2166515020 in words is "two billion, one hundred sixty-six million, five hundred fifteen thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 6290 12580 172219 344438 688876 861095 1722190 2927723 3444380 5855446 6372103 11710892 12744206 14638615 25488412 29277230 31860515 58554460 63721030 108325751 127442060 216651502 433303004 541628755 1083257510 2166515020