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2144432532 = 22311374310211
BaseRepresentation
bin111111111010001…
…0111000110010100
312112110010110102010
41333310113012110
513342433320112
6552442344220
7104066242614
oct17764270624
95473113363
102144432532
11a005269a0
124ba1bb070
132823770b8
14164b34a44
15c83e263c
hex7fd17194

2144432532 has 96 divisors (see below), whose sum is σ = 5737019904. Its totient is φ = 617500800.

The previous prime is 2144432503. The next prime is 2144432539. The reversal of 2144432532 is 2352344412.

It is a self number, because there is not a number n which added to its sum of digits gives 2144432532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144432539) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204907 + ... + 215117.

It is an arithmetic number, because the mean of its divisors is an integer number (59760624).

Almost surely, 22144432532 is an apocalyptic number.

2144432532 is a gapful number since it is divisible by the number (22) 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 2144432532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868509952).

2144432532 is an abundant number, since it is smaller than the sum of its proper divisors (3592587372).

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

2144432532 is a wasteful number, since it uses less digits than its factorization.

2144432532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10309 (or 10307 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 2144432532 is about 46308.0180098436. The cubic root of 2144432532 is about 1289.5478518754.

Adding to 2144432532 its reverse (2352344412), we get a palindrome (4496776944).

The spelling of 2144432532 in words is "two billion, one hundred forty-four million, four hundred thirty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 43 44 66 74 86 111 129 132 148 172 222 258 407 444 473 516 814 946 1221 1419 1591 1628 1892 2442 2838 3182 4773 4884 5676 6364 9546 10211 17501 19092 20422 30633 35002 40844 52503 61266 70004 105006 112321 122532 210012 224642 336963 377807 439073 449284 673926 755614 878146 1133421 1317219 1347852 1511228 1756292 2266842 2634438 4155877 4533684 4829803 5268876 8311754 9659606 12467631 14489409 16245701 16623508 19319212 24935262 28978818 32491402 48737103 49870524 57957636 64982804 97474206 178702711 194948412 357405422 536108133 714810844 1072216266 2144432532