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5233113200 = 2452710717467
BaseRepresentation
bin1001101111110101…
…01111100001110000
3111111201000200202102
410313322233201300
541204134110300
62223135435532
7243452504540
oct46772574160
914451020672
105233113200
112245a57447
121020685ba8
1365523abb3
14379023320
152096520d5
hex137eaf870

5233113200 has 120 divisors (see below), whose sum is σ = 14503750272. Its totient is φ = 1777340160.

The previous prime is 5233113163. The next prime is 5233113227. The reversal of 5233113200 is 23113325.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290867 + ... + 308333.

Almost surely, 25233113200 is an apocalyptic number.

5233113200 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 5233113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251875136).

5233113200 is an abundant number, since it is smaller than the sum of its proper divisors (9270637072).

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

5233113200 is a wasteful number, since it uses less digits than its factorization.

5233113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17599 (or 17588 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 5233113200 is about 72340.2598834149. The cubic root of 5233113200 is about 1736.1478616439.

Adding to 5233113200 its reverse (23113325), we get a palindrome (5256226525).

The spelling of 5233113200 in words is "five billion, two hundred thirty-three million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 107 112 140 175 200 214 280 350 400 428 535 560 700 749 856 1070 1400 1498 1712 2140 2675 2800 2996 3745 4280 5350 5992 7490 8560 10700 11984 14980 17467 18725 21400 29960 34934 37450 42800 59920 69868 74900 87335 122269 139736 149800 174670 244538 279472 299600 349340 436675 489076 611345 698680 873350 978152 1222690 1397360 1746700 1868969 1956304 2445380 3056725 3493400 3737938 4890760 6113450 6986800 7475876 9344845 9781520 12226900 13082783 14951752 18689690 24453800 26165566 29903504 37379380 46724225 48907600 52331132 65413915 74758760 93448450 104662264 130827830 149517520 186896900 209324528 261655660 327069575 373793800 523311320 654139150 747587600 1046622640 1308278300 2616556600 5233113200