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5224464200 = 23521922692
BaseRepresentation
bin1001101110110011…
…01111111101001000
3111111002202021120002
410313121233331020
541144430323300
62222230222132
7243316133024
oct46731577510
914432667502
105224464200
11224108a30a
1210197b4948
13653500247
14377c11384
152089e45d5
hex13766ff48

5224464200 has 108 divisors (see below), whose sum is σ = 12867671115. Its totient is φ = 1972437120.

The previous prime is 5224464199. The next prime is 5224464233. The reversal of 5224464200 is 24644225.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 71808676 + 5152655524 = 8474^2 + 71782^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=51110.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19421666 + ... + 19421934.

Almost surely, 25224464200 is an apocalyptic number.

5224464200 is a gapful number since it is divisible by the number (50) 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 5224464200

5224464200 is an abundant number, since it is smaller than the sum of its proper divisors (7643206915).

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

5224464200 is a wasteful number, since it uses less digits than its factorization.

5224464200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 5224464200 is about 72280.4551728889. The cubic root of 5224464200 is about 1735.1908645122.

The spelling of 5224464200 in words is "five billion, two hundred twenty-four million, four hundred sixty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 269 361 380 475 538 722 760 950 1076 1345 1444 1805 1900 2152 2690 2888 3610 3800 5111 5380 6725 7220 9025 10222 10760 13450 14440 18050 20444 25555 26900 36100 40888 51110 53800 72200 72361 97109 102220 127775 144722 194218 204440 255550 289444 361805 388436 485545 511100 578888 723610 776872 971090 1022200 1374859 1447220 1809025 1942180 2427725 2749718 2894440 3618050 3884360 4855450 5499436 6874295 7236100 9710900 10998872 13748590 14472200 19421800 26122321 27497180 34371475 52244642 54994360 68742950 104489284 130611605 137485900 208978568 261223210 274971800 522446420 653058025 1044892840 1306116050 2612232100 5224464200