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2153014440 = 2335147112197
BaseRepresentation
bin1000000001010100…
…0110010010101000
312120001021110120120
42000111012102220
513402132430230
6553350323240
7104232215013
oct20025062250
95501243516
102153014440
11a05358685
12501059520
13284090355
14165d2a37a
15c903a310
hex805464a8

2153014440 has 64 divisors (see below), whose sum is σ = 6463964160. Its totient is φ = 573699840.

The previous prime is 2153014417. The next prime is 2153014441. The reversal of 2153014440 is 444103512.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2153014440.

It is not an unprimeable number, because it can be changed into a prime (2153014441) 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, 170422 + ... + 182618.

It is an arithmetic number, because the mean of its divisors is an integer number (100999440).

Almost surely, 22153014440 is an apocalyptic number.

2153014440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153014440 is an abundant number, since it is smaller than the sum of its proper divisors (4310949720).

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

2153014440 is a wasteful number, since it uses less digits than its factorization.

2153014440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13682 (or 13678 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2153014440 is about 46400.5866342226. The cubic root of 2153014440 is about 1291.2657967865.

Adding to 2153014440 its reverse (444103512), we get a palindrome (2597117952).

The spelling of 2153014440 in words is "two billion, one hundred fifty-three million, fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1471 2942 4413 5884 7355 8826 11768 12197 14710 17652 22065 24394 29420 35304 36591 44130 48788 58840 60985 73182 88260 97576 121970 146364 176520 182955 243940 292728 365910 487880 731820 1463640 17941787 35883574 53825361 71767148 89708935 107650722 143534296 179417870 215301444 269126805 358835740 430602888 538253610 717671480 1076507220 2153014440