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2250805504 = 2867281467
BaseRepresentation
bin1000011000101000…
…1001000100000000
312210212021202200211
42012022021010000
514102201234004
61011202323504
7106530350113
oct20612110400
95725252624
102250805504
11a55580542
12529959594
1329b40c59c
14174d0457a
15d2905504
hex86289100

2250805504 has 72 divisors (see below), whose sum is σ = 4585902048. Its totient is φ = 1102295040.

The previous prime is 2250805489. The next prime is 2250805519. The reversal of 2250805504 is 4055080522.

It is an interprime number because it is at equal distance from previous prime (2250805489) and next prime (2250805519).

It is a super-2 number, since 2×22508055042 = 10132250833673388032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4819479 + ... + 4819945.

It is an arithmetic number, because the mean of its divisors is an integer number (63693084).

Almost surely, 22250805504 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 2250805504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292951024).

2250805504 is an abundant number, since it is smaller than the sum of its proper divisors (2335096544).

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

2250805504 is an equidigital number, since it uses as much as digits as its factorization.

2250805504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The square root of 2250805504 is about 47442.6549004164. The cubic root of 2250805504 is about 1310.5270501274.

The spelling of 2250805504 in words is "two billion, two hundred fifty million, eight hundred five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 281 467 536 562 934 1072 1124 1868 2144 2248 3736 4288 4496 7472 8576 8992 14944 17152 17984 18827 29888 31289 35968 37654 59776 62578 71936 75308 119552 125156 131227 150616 250312 262454 301232 500624 524908 602464 1001248 1049816 1204928 2002496 2099632 2409856 4004992 4199264 4819712 8009984 8398528 8792209 16797056 17584418 33594112 35168836 70337672 140675344 281350688 562701376 1125402752 2250805504