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2190244968 = 233329713413
BaseRepresentation
bin1000001010001100…
…0111110001101000
312122122022222021000
42002203013301220
513441200314333
61001200315000
7105163526562
oct20243076150
95578288230
102190244968
11a2437750a
12511612a60
1328b9c7452
1416ac5c332
15cc441713
hex828c7c68

2190244968 has 64 divisors (see below), whose sum is σ = 6087844800. Its totient is φ = 729622080.

The previous prime is 2190244951. The next prime is 2190244993. The reversal of 2190244968 is 8694420912.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 640030 + ... + 643442.

It is an arithmetic number, because the mean of its divisors is an integer number (95122575).

Almost surely, 22190244968 is an apocalyptic number.

It is an amenable number.

2190244968 is an abundant number, since it is smaller than the sum of its proper divisors (3897599832).

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

2190244968 is a wasteful number, since it uses less digits than its factorization.

2190244968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6399 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2190244968 is about 46800.0530768930. The cubic root of 2190244968 is about 1298.6662786989. Note that the first 3 decimals are identical.

The spelling of 2190244968 in words is "two billion, one hundred ninety million, two hundred forty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2971 3413 5942 6826 8913 10239 11884 13652 17826 20478 23768 26739 27304 30717 35652 40956 53478 61434 71304 80217 81912 92151 106956 122868 160434 184302 213912 245736 320868 368604 641736 737208 10140023 20280046 30420069 40560092 60840138 81120184 91260207 121680276 182520414 243360552 273780621 365040828 547561242 730081656 1095122484 2190244968