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2190915420 = 223573500209
BaseRepresentation
bin1000001010010110…
…1011011101011100
312122200121000221120
42002211223131130
513441333243140
61001222530540
7105202321341
oct20245533534
95580530846
102190915420
11a24795201
12511896a50
1328bba0675
1416ad947c8
15cc5251d0
hex8296b75c

2190915420 has 48 divisors (see below), whose sum is σ = 6218610720. Its totient is φ = 576239616.

The previous prime is 2190915413. The next prime is 2190915427. The reversal of 2190915420 is 245190912.

2190915420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2190915413) and next prime (2190915427).

It is a super-2 number, since 2×21909154202 = 9600220755187552800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190915427) 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, 245725 + ... + 254484.

It is an arithmetic number, because the mean of its divisors is an integer number (129554390).

Almost surely, 22190915420 is an apocalyptic number.

2190915420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2190915420 is an abundant number, since it is smaller than the sum of its proper divisors (4027695300).

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

2190915420 is a wasteful number, since it uses less digits than its factorization.

2190915420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500294 (or 500292 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 2190915420 is about 46807.2154694124. The cubic root of 2190915420 is about 1298.7987759903.

The spelling of 2190915420 in words is "two billion, one hundred ninety million, nine hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 500209 1000418 1500627 2000836 2501045 3001254 5002090 6002508 7503135 10004180 15006270 30012540 36515257 73030514 109545771 146061028 182576285 219091542 365152570 438183084 547728855 730305140 1095457710 2190915420