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5215325200 = 2452192923663
BaseRepresentation
bin1001101101101101…
…11000110000010000
3111110110112222012121
410312312320300100
541140110401300
62221302304024
7243145350511
oct46666706020
914413488177
105215325200
112236a08018
121016728014
13651650557
14376912a08
15207cdb81a
hex136db8c10

5215325200 has 120 divisors (see below), whose sum is σ = 13644662400. Its totient is φ = 1908103680.

The previous prime is 5215325153. The next prime is 5215325201. The reversal of 5215325200 is 25235125.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5215325201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208569 + ... + 232231.

It is an arithmetic number, because the mean of its divisors is an integer number (113705520).

Almost surely, 25215325200 is an apocalyptic number.

5215325200 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 5215325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822331200).

5215325200 is an abundant number, since it is smaller than the sum of its proper divisors (8429337200).

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

5215325200 is a wasteful number, since it uses less digits than its factorization.

5215325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23729 (or 23718 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 5215325200 is about 72217.2084755427. The cubic root of 5215325200 is about 1734.1785013754.

The spelling of 5215325200 in words is "five billion, two hundred fifteen million, three hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 29 38 40 50 58 76 80 95 100 116 145 152 190 200 232 290 304 380 400 464 475 551 580 725 760 950 1102 1160 1450 1520 1900 2204 2320 2755 2900 3800 4408 5510 5800 7600 8816 11020 11600 13775 22040 23663 27550 44080 47326 55100 94652 110200 118315 189304 220400 236630 378608 449597 473260 591575 686227 899194 946520 1183150 1372454 1798388 1893040 2247985 2366300 2744908 3431135 3596776 4495970 4732600 5489816 6862270 7193552 8991940 9465200 10979632 11239925 13038313 13724540 17155675 17983880 22479850 26076626 27449080 34311350 35967760 44959700 52153252 54898160 65191565 68622700 89919400 104306504 130383130 137245400 179838800 208613008 260766260 274490800 325957825 521532520 651915650 1043065040 1303831300 2607662600 5215325200