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225133514300 = 22521727790087
BaseRepresentation
bin1101000110101100000…
…0001100111000111100
3210112002221102111111102
43101223000030320330
512142033134424200
6251231440312232
722160006203622
oct3215300147074
9715087374442
10225133514300
1187529aaa522
1237770912678
13182cb401926
14ac7a0a1512
155cc9c1b6d5
hex346b00ce3c

225133514300 has 54 divisors (see below), whose sum is σ = 518967872472. Its totient is φ = 84756135680.

The previous prime is 225133514233. The next prime is 225133514303. The reversal of 225133514300 is 3415331522.

It is a happy number.

It is a super-2 number, since 2×2251335143002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225133514303) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 3866144 + ... + 3923943.

Almost surely, 2225133514300 is an apocalyptic number.

225133514300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225133514300 is an abundant number, since it is smaller than the sum of its proper divisors (293834358172).

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

225133514300 is a wasteful number, since it uses less digits than its factorization.

225133514300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7790135 (or 7790111 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 225133514300 its reverse (3415331522), we get a palindrome (228548845822).

The spelling of 225133514300 in words is "two hundred twenty-five billion, one hundred thirty-three million, five hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 2890 5780 7225 14450 28900 7790087 15580174 31160348 38950435 77900870 132431479 155801740 194752175 264862958 389504350 529725916 662157395 779008700 1324314790 2251335143 2648629580 3310786975 4502670286 6621573950 9005340572 11256675715 13243147900 22513351430 45026702860 56283378575 112566757150 225133514300