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2190099960 = 233256083611
BaseRepresentation
bin1000001010001010…
…0100010111111000
312122122001121100100
42002202210113320
513441131144320
61001153235400
7105162354036
oct20242442770
95578047310
102190099960
11a24288574
12511562b60
1328b976449
1416ac21556
15cc413790
hex828a45f8

2190099960 has 48 divisors (see below), whose sum is σ = 7117826040. Its totient is φ = 584026560.

The previous prime is 2190099949. The next prime is 2190099991. The reversal of 2190099960 is 699900912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3041446 + ... + 3042165.

Almost surely, 22190099960 is an apocalyptic number.

2190099960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2190099960 is an abundant number, since it is smaller than the sum of its proper divisors (4927726080).

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

2190099960 is a wasteful number, since it uses less digits than its factorization.

2190099960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6083628 (or 6083621 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 2190099960 is about 46798.5038222377. The cubic root of 2190099960 is about 1298.6376181064.

The spelling of 2190099960 in words is "two billion, one hundred ninety million, ninety-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6083611 12167222 18250833 24334444 30418055 36501666 48668888 54752499 60836110 73003332 91254165 109504998 121672220 146006664 182508330 219009996 243344440 273762495 365016660 438019992 547524990 730033320 1095049980 2190099960