Search a number
-
+
5250222540 = 22325172100927
BaseRepresentation
bin1001110001111000…
…00000100111001100
3111112220012221100200
410320330000213030
541223024110130
62224550253500
7244051104153
oct47074004714
914486187320
105250222540
1122546829a2
121026357290
1365894b674
1437b3d859a
1520add1760
hex138f009cc

5250222540 has 108 divisors (see below), whose sum is σ = 16917753216. Its totient is φ = 1317689856.

The previous prime is 5250222539. The next prime is 5250222541. The reversal of 5250222540 is 452220525.

5250222540 is a `hidden beast` number, since 52 + 50 + 2 + 22 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (5250222539) and next prime (5250222541).

It is not an unprimeable number, because it can be changed into a prime (5250222541) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1557 + ... + 102483.

Almost surely, 25250222540 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 5250222540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8458876608).

5250222540 is an abundant number, since it is smaller than the sum of its proper divisors (11667530676).

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

5250222540 is a wasteful number, since it uses less digits than its factorization.

5250222540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100976 (or 100954 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 5250222540 is about 72458.4193865696. The cubic root of 5250222540 is about 1738.0378793969.

The spelling of 5250222540 in words is "five billion, two hundred fifty million, two hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1156 1445 1530 1734 2601 2890 3060 3468 4335 5202 5780 8670 10404 13005 17340 26010 52020 100927 201854 302781 403708 504635 605562 908343 1009270 1211124 1513905 1715759 1816686 2018540 3027810 3431518 3633372 4541715 5147277 6055620 6863036 8578795 9083430 10294554 15441831 17157590 18166860 20589108 25736385 29167903 30883662 34315180 51472770 58335806 61767324 77209155 87503709 102945540 116671612 145839515 154418310 175007418 262511127 291679030 308836620 350014836 437518545 525022254 583358060 875037090 1050044508 1312555635 1750074180 2625111270 5250222540