Search a number
-
+
45224432224 = 253750375937
BaseRepresentation
bin101010000111100101…
…100001001001100000
311022201202202012012021
4222013211201021200
51220104423312344
632435324311224
73160463221426
oct520745411140
9138652665167
1045224432224
11181a8016324
1289216a2514
13435957108a
1422903b1116
15129a4c1b84
hexa87961260

45224432224 has 48 divisors (see below), whose sum is σ = 91624968288. Its totient is φ = 21957046272.

The previous prime is 45224432221. The next prime is 45224432237. The reversal of 45224432224 is 42223442254.

It is a self number, because there is not a number n which added to its sum of digits gives 45224432224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45224432221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 557584 + ... + 633520.

It is an arithmetic number, because the mean of its divisors is an integer number (1908853506).

Almost surely, 245224432224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45224432224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45812484144).

45224432224 is an abundant number, since it is smaller than the sum of its proper divisors (46400536064).

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

45224432224 is a wasteful number, since it uses less digits than its factorization.

45224432224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76487 (or 76479 counting only the distinct ones).

The product of its digits is 122880, while the sum is 34.

Adding to 45224432224 its reverse (42223442254), we get a palindrome (87447874478).

The spelling of 45224432224 in words is "forty-five billion, two hundred twenty-four million, four hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 503 592 1006 1184 2012 4024 8048 16096 18611 37222 74444 75937 148888 151874 297776 303748 595552 607496 1214992 2429984 2809669 5619338 11238676 22477352 38196311 44954704 76392622 89909408 152785244 305570488 611140976 1222281952 1413263507 2826527014 5653054028 11306108056 22612216112 45224432224