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2132241144 = 2331150316057
BaseRepresentation
bin111111100010111…
…0110101011111000
312111121012001222020
41333011312223320
513331323204034
6551325154440
7103560515325
oct17705665370
95447161866
102132241144
119a465a370
124b60bba20
1327c998c67
1416327db4c
15c72d5249
hex7f176af8

2132241144 has 64 divisors (see below), whose sum is σ = 5827127040. Its totient is φ = 644808960.

The previous prime is 2132241127. The next prime is 2132241149. The reversal of 2132241144 is 4411422312.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132241149) 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, 124764 + ... + 140820.

It is an arithmetic number, because the mean of its divisors is an integer number (91048860).

Almost surely, 22132241144 is an apocalyptic number.

2132241144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132241144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913563520).

2132241144 is an abundant number, since it is smaller than the sum of its proper divisors (3694885896).

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

2132241144 is a wasteful number, since it uses less digits than its factorization.

2132241144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16580 (or 16576 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2132241144 is about 46176.1967251527. The cubic root of 2132241144 is about 1287.0994550547.

Adding to 2132241144 its reverse (4411422312), we get a palindrome (6543663456).

The spelling of 2132241144 in words is "two billion, one hundred thirty-two million, two hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 503 1006 1509 2012 3018 4024 5533 6036 11066 12072 16057 16599 22132 32114 33198 44264 48171 64228 66396 96342 128456 132792 176627 192684 353254 385368 529881 706508 1059762 1413016 2119524 4239048 8076671 16153342 24230013 32306684 48460026 64613368 88843381 96920052 177686762 193840104 266530143 355373524 533060286 710747048 1066120572 2132241144