Search a number
-
+
2144459240 = 235711696253
BaseRepresentation
bin111111111010001…
…1101100111101000
312112110011211001022
41333310131213220
513342440143430
6552443112012
7104066413520
oct17764354750
95473154038
102144459240
11a00544a70
124ba212608
132823862c1
14164b40680
15c83ea4e5
hex7fd1d9e8

2144459240 has 64 divisors (see below), whose sum is σ = 6015634560. Its totient is φ = 668401920.

The previous prime is 2144459227. The next prime is 2144459249. The reversal of 2144459240 is 429544412.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2144459240.

It is not an unprimeable number, because it can be changed into a prime (2144459249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345047 + ... + 351206.

It is an arithmetic number, because the mean of its divisors is an integer number (93994290).

Almost surely, 22144459240 is an apocalyptic number.

2144459240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144459240 is an abundant number, since it is smaller than the sum of its proper divisors (3871175320).

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

2144459240 is a wasteful number, since it uses less digits than its factorization.

2144459240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696282 (or 696278 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 2144459240 is about 46308.3063823327. The cubic root of 2144459240 is about 1289.5532054442.

The spelling of 2144459240 in words is "two billion, one hundred forty-four million, four hundred fifty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 696253 1392506 2785012 3481265 4873771 5570024 6962530 7658783 9747542 13925060 15317566 19495084 24368855 27850120 30635132 38293915 38990168 48737710 53611481 61270264 76587830 97475420 107222962 153175660 194950840 214445924 268057405 306351320 428891848 536114810 1072229620 2144459240