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45222400344 = 23311409418819
BaseRepresentation
bin101010000111011101…
…110001000101011000
311022201121220221222110
4222013131301011120
51220103413302334
632435212552320
73160440026532
oct520735610530
9138647827873
1045222400344
11181a6958790
128920a826a0
13435900c294
142290002852
15129a21eae9
hexa87771158

45222400344 has 64 divisors (see below), whose sum is σ = 123635664000. Its totient is φ = 13670219520.

The previous prime is 45222400331. The next prime is 45222400387. The reversal of 45222400344 is 44300422254.

It is a super-2 number, since 2×452224003442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101434 + ... + 317385.

It is an arithmetic number, because the mean of its divisors is an integer number (1931807250).

Almost surely, 245222400344 is an apocalyptic number.

45222400344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45222400344 is an abundant number, since it is smaller than the sum of its proper divisors (78413263656).

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

45222400344 is a wasteful number, since it uses less digits than its factorization.

45222400344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419248 (or 419244 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 45222400344 its reverse (44300422254), we get a palindrome (89522822598).

The spelling of 45222400344 in words is "forty-five billion, two hundred twenty-two million, four hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 409 818 1227 1636 2454 3272 4499 4908 8998 9816 13497 17996 26994 35992 53988 107976 418819 837638 1256457 1675276 2512914 3350552 4607009 5025828 9214018 10051656 13821027 18428036 27642054 36856072 55284108 110568216 171296971 342593942 513890913 685187884 1027781826 1370375768 1884266681 2055563652 3768533362 4111127304 5652800043 7537066724 11305600086 15074133448 22611200172 45222400344