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145225344 = 2731134381
BaseRepresentation
bin10001010011111…
…11011010000000
3101010021012201110
420221333122000
5244134202334
622224403320
73412252335
oct1051773200
9333235643
10145225344
1174a80a50
1240776540
1324119874
141540498c
15cb39ae9
hex8a7f680

145225344 has 64 divisors (see below), whose sum is σ = 420835680. Its totient is φ = 44006400.

The previous prime is 145225331. The next prime is 145225361. The reversal of 145225344 is 443522541.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12967 + ... + 21414.

Almost surely, 2145225344 is an apocalyptic number.

It is an amenable number.

145225344 is an abundant number, since it is smaller than the sum of its proper divisors (275610336).

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

145225344 is a wasteful number, since it uses less digits than its factorization.

145225344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34409 (or 34397 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 145225344 is about 12050.9478465389. The cubic root of 145225344 is about 525.6307991469.

Adding to 145225344 its reverse (443522541), we get a palindrome (588747885).

It can be divided in two parts, 1452 and 25344, that added together give a triangular number (26796 = T231).

The spelling of 145225344 in words is "one hundred forty-five million, two hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 34381 68762 103143 137524 206286 275048 378191 412572 550096 756382 825144 1100192 1134573 1512764 1650288 2200384 2269146 3025528 3300576 4400768 4538292 6051056 6601152 9076584 12102112 13202304 18153168 24204224 36306336 48408448 72612672 145225344