Search a number
-
+
2188939464 = 23343377993
BaseRepresentation
bin1000001001111000…
…1001000011001000
312122112212122110000
42002132021003020
513440332030324
61001112323000
7105146451465
oct20236110310
95575778400
102188939464
11a23665688
125110a3460
1328b65b16a
1416a9dc66c
15cc2849c9
hex827890c8

2188939464 has 40 divisors (see below), whose sum is σ = 6131059110. Its totient is φ = 729646272.

The previous prime is 2188939451. The next prime is 2188939541. The reversal of 2188939464 is 4649398812.

It can be written as a sum of positive squares in only one way, i.e., 1994336964 + 194602500 = 44658^2 + 13950^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2188939464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1688349 + ... + 1689644.

Almost surely, 22188939464 is an apocalyptic number.

2188939464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2188939464 is an abundant number, since it is smaller than the sum of its proper divisors (3942119646).

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

2188939464 is a wasteful number, since it uses less digits than its factorization.

2188939464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378011 (or 3377998 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 2188939464 is about 46786.1033213923. The cubic root of 2188939464 is about 1298.4082023938.

The spelling of 2188939464 in words is "two billion, one hundred eighty-eight million, nine hundred thirty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 3377993 6755986 10133979 13511972 20267958 27023944 30401937 40535916 60803874 81071832 91205811 121607748 182411622 243215496 273617433 364823244 547234866 729646488 1094469732 2188939464