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2149302272 = 2141310091
BaseRepresentation
bin1000000000011011…
…1100000000000000
312112210021212102212
42000012330000000
513400210133042
6553135001252
7104155524245
oct20006740000
95483255385
102149302272
11a03252677
124bb969228
132833907c0
141656415cc
15c8a55482
hex801bc000

2149302272 has 60 divisors (see below), whose sum is σ = 4629583896. Its totient is φ = 991887360.

The previous prime is 2149302263. The next prime is 2149302283. The reversal of 2149302272 is 2722039412.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 207947 + ... + 218037.

Almost surely, 22149302272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149302272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314791948).

2149302272 is an abundant number, since it is smaller than the sum of its proper divisors (2480281624).

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

2149302272 is an equidigital number, since it uses as much as digits as its factorization.

2149302272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10132 (or 10106 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 2149302272 is about 46360.5680724471. The cubic root of 2149302272 is about 1290.5232482612.

The spelling of 2149302272 in words is "two billion, one hundred forty-nine million, three hundred two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 8192 10091 13312 16384 20182 26624 40364 53248 80728 106496 131183 161456 212992 262366 322912 524732 645824 1049464 1291648 2098928 2583296 4197856 5166592 8395712 10333184 16791424 20666368 33582848 41332736 67165696 82665472 134331392 165330944 268662784 537325568 1074651136 2149302272