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2215312125 = 353131923917
BaseRepresentation
bin1000010000001010…
…1111101011111101
312201101111111221020
42010002233223331
514014104442000
61003453454353
7105616561635
oct20402575375
95641444836
102215312125
11a37538874
12519aa13b9
13293c630a0
141703056c5
15ce743ba0
hex840afafd

2215312125 has 64 divisors (see below), whose sum is σ = 4178952960. Its totient is φ = 1033171200.

The previous prime is 2215312067. The next prime is 2215312139. The reversal of 2215312125 is 5212135122.

It is not a de Polignac number, because 2215312125 - 28 = 2215311869 is a prime.

It is a super-2 number, since 2×22153121252 = 9815215622344031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2215312095 and 2215312104.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 80667 + ... + 104583.

It is an arithmetic number, because the mean of its divisors is an integer number (65296140).

Almost surely, 22215312125 is an apocalyptic number.

2215312125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2215312125 is a deficient number, since it is larger than the sum of its proper divisors (1963640835).

2215312125 is a wasteful number, since it uses less digits than its factorization.

2215312125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23967 (or 23957 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 2215312125 is about 47067.1023646028. The cubic root of 2215312125 is about 1303.6018701663.

Adding to 2215312125 its reverse (5212135122), we get a palindrome (7427447247).

The spelling of 2215312125 in words is "two billion, two hundred fifteen million, three hundred twelve thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 19 25 39 57 65 75 95 125 195 247 285 325 375 475 741 975 1235 1425 1625 2375 3705 4875 6175 7125 18525 23917 30875 71751 92625 119585 310921 358755 454423 597925 932763 1363269 1554605 1793775 2272115 2989625 4663815 5907499 6816345 7773025 8968875 11360575 17722497 23319075 29537495 34081725 38865125 56802875 88612485 116595375 147687475 170408625 443062425 738437375 2215312125