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3505225000 = 2355149941
BaseRepresentation
bin1101000011101101…
…0111110100101000
3100001021200212202011
43100323113310220
524134314200000
61335453045304
7152601630604
oct32073276450
910037625664
103505225000
111539676472
12819a86834
1343b278944
1425375c504
15157ae02ba
hexd0ed7d28

3505225000 has 96 divisors (see below), whose sum is σ = 8278767000. Its totient is φ = 1391200000.

The previous prime is 3505224991. The next prime is 3505225027. The reversal of 3505225000 is 5225053.

It can be written as a sum of positive squares in 12 ways, for example, as 2167274916 + 1337950084 = 46554^2 + 36578^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3724530 + ... + 3725470.

Almost surely, 23505225000 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 3505225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139383500).

3505225000 is an abundant number, since it is smaller than the sum of its proper divisors (4773542000).

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

3505225000 is an equidigital number, since it uses as much as digits as its factorization.

3505225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 3505225000 is about 59204.9406722108. The cubic root of 3505225000 is about 1519.0496425382.

The spelling of 3505225000 in words is "three billion, five hundred five million, two hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 500 596 625 745 941 1000 1192 1250 1490 1882 2500 2980 3125 3725 3764 4705 5000 5960 6250 7450 7528 9410 12500 14900 18625 18820 23525 25000 29800 37250 37640 47050 74500 93125 94100 117625 140209 149000 186250 188200 235250 280418 372500 465625 470500 560836 588125 701045 745000 931250 941000 1121672 1176250 1402090 1862500 2352500 2804180 2940625 3505225 3725000 4705000 5608360 5881250 7010450 11762500 14020900 17526125 23525000 28041800 35052250 70104500 87630625 140209000 175261250 350522500 438153125 701045000 876306250 1752612500 3505225000