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45224201204 = 227131952312503
BaseRepresentation
bin101010000111100100…
…101000101111110100
311022201202022110021222
4222013210220233310
51220104343414304
632435315325512
73160461240050
oct520744505764
9138652273258
1045224201204
11181a79787a6
1289215b0898
1343594bcb90
142290350c60
15129a4784be
hexa87928bf4

45224201204 has 96 divisors (see below), whose sum is σ = 102736865280. Its totient is φ = 16915506048.

The previous prime is 45224201203. The next prime is 45224201207. The reversal of 45224201204 is 40210242254.

45224201204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45224201201) 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, 3610817 + ... + 3623319.

It is an arithmetic number, because the mean of its divisors is an integer number (1070175680).

Almost surely, 245224201204 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 45224201204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51368432640).

45224201204 is an abundant number, since it is smaller than the sum of its proper divisors (57512664076).

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

45224201204 is a wasteful number, since it uses less digits than its factorization.

45224201204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13069 (or 13067 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 45224201204 its reverse (40210242254), we get a palindrome (85434443458).

The spelling of 45224201204 in words is "forty-five billion, two hundred twenty-four million, two hundred one thousand, two hundred four".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 364 494 523 532 988 1046 1729 2092 3458 3661 6799 6916 7322 9937 12503 13598 14644 19874 25006 27196 39748 47593 50012 69559 87521 95186 129181 139118 162539 175042 190372 237557 258362 278236 325078 350084 475114 516724 650156 904267 950228 1137773 1662899 1808534 2275546 3088241 3325798 3617068 4551092 6176482 6539069 6651596 12352964 13078138 21617687 26156276 43235374 45773483 85007897 86470748 91546966 124242311 170015794 183093932 248484622 340031588 496969244 595055279 869696177 1190110558 1615150043 1739392354 2380221116 3230300086 3478784708 6460600172 11306050301 22612100602 45224201204