Base | Representation |
---|---|
bin | 100010100100001010… |
… | …110000101001100100 |
3 | 10112210112120200121221 |
4 | 202210022300221210 |
5 | 1102002142210000 |
6 | 25014442150124 |
7 | 2452501662142 |
oct | 424412605144 |
9 | 115715520557 |
10 | 37114022500 |
11 | 14815997475 |
12 | 72394b2344 |
13 | 36661b1279 |
14 | 1b211a6592 |
15 | e7346761a |
hex | 8a42b0a64 |
37114022500 has 45 divisors (see below), whose sum is σ = 81182014221. Its totient is φ = 14841756000.
The previous prime is 37114022489. The next prime is 37114022503. The reversal of 37114022500 is 522041173.
It is a happy number.
The square root of 37114022500 is 192650.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 7 ways, for example, as 5118830116 + 31995192384 = 71546^2 + 178872^2 .
It is a super-2 number, since 2×371140225002 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (37114022503) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9630574 + ... + 9634426.
Almost surely, 237114022500 is an apocalyptic number.
37114022500 is the 192650-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 37114022500
37114022500 is an abundant number, since it is smaller than the sum of its proper divisors (44067991721).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37114022500 is an frugal number, since it uses more digits than its factorization.
37114022500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7730 (or 3860 counting only the distinct ones).
The product of its (nonzero) digits is 1680, while the sum is 25.
Multiplying 37114022500 by its sum of digits (25), we get a square (927850562500 = 9632502).
37114022500 divided by its sum of digits (25) gives a square (1484560900 = 385302).
Adding to 37114022500 its reverse (522041173), we get a palindrome (37636063673).
The spelling of 37114022500 in words is "thirty-seven billion, one hundred fourteen million, twenty-two thousand, five hundred".
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