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2144290632 = 2331143188891
BaseRepresentation
bin111111111001111…
…0100011101001000
312112102212020202120
41333303310131020
513342414300012
6552435331240
7104065112121
oct17763643510
95472766676
102144290632
11a0043a320
124ba150b20
13282327633
14164ad9048
15c83b558c
hex7fcf4748

2144290632 has 64 divisors (see below), whose sum is σ = 5984098560. Its totient is φ = 634670400.

The previous prime is 2144290613. The next prime is 2144290639. The reversal of 2144290632 is 2360924412.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2144290593 and 2144290602.

It is not an unprimeable number, because it can be changed into a prime (2144290639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83094 + ... + 105797.

It is an arithmetic number, because the mean of its divisors is an integer number (93501540).

Almost surely, 22144290632 is an apocalyptic number.

2144290632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2144290632 is an abundant number, since it is smaller than the sum of its proper divisors (3839807928).

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

2144290632 is a wasteful number, since it uses less digits than its factorization.

2144290632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188954 (or 188950 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2144290632 is about 46306.4858524160. The cubic root of 2144290632 is about 1289.5194075397.

The spelling of 2144290632 in words is "two billion, one hundred forty-four million, two hundred ninety thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5676 11352 188891 377782 566673 755564 1133346 1511128 2077801 2266692 4155602 4533384 6233403 8122313 8311204 12466806 16244626 16622408 24366939 24933612 32489252 48733878 49867224 64978504 89345443 97467756 178690886 194935512 268036329 357381772 536072658 714763544 1072145316 2144290632