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250270072900 = 225219226332
BaseRepresentation
bin1110100100010101000…
…0100100000001000100
3212220222202021222111021
43221011100210001010
513100023114313100
6310550020120524
724036632343211
oct3510520440104
9786882258437
10250270072900
1197158a27aa1
1240606b36144
131a7a600bc43
14c182634b08
15679b8b5a1a
hex3a45424044

250270072900 has 81 divisors (see below), whose sum is σ = 573391699671. Its totient is φ = 94803166080.

The previous prime is 250270072883. The next prime is 250270072907. The reversal of 250270072900 is 9270072052.

The square root of 250270072900 is 500270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 59832095236 + 190437977664 = 244606^2 + 436392^2 .

It is not an unprimeable number, because it can be changed into a prime (250270072907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95049984 + ... + 95052616.

Almost surely, 2250270072900 is an apocalyptic number.

250270072900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

250270072900 is the 500270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250270072900

250270072900 is an abundant number, since it is smaller than the sum of its proper divisors (323121626771).

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

250270072900 is an equidigital number, since it uses as much as digits as its factorization.

250270072900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 250270072900 in words is "two hundred fifty billion, two hundred seventy million, seventy-two thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 950 1444 1805 1900 2633 3610 5266 7220 9025 10532 13165 18050 26330 36100 50027 52660 65825 100054 131650 200108 250135 263300 500270 950513 1000540 1250675 1901026 2501350 3802052 4752565 5002700 6932689 9505130 13865378 19010260 23762825 27730756 34663445 47525650 69326890 95051300 131721091 138653780 173317225 263442182 346634450 526884364 658605455 693268900 1317210910 2502700729 2634421820 3293027275 5005401458 6586054550 10010802916 12513503645 13172109100 25027007290 50054014580 62567518225 125135036450 250270072900