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225402213141 = 32725713921451
BaseRepresentation
bin1101000111101100000…
…1001101001100010101
3210112210200000211000100
43101323001031030111
512143110431310031
6251314235404313
722166451125310
oct3217301151425
9715720024010
10225402213141
1187657744986
12378268b3699
1318341c90421
14aca3a47977
155ce35e5de6
hex347b04d315

225402213141 has 24 divisors (see below), whose sum is σ = 373540400064. Its totient is φ = 128300083200.

The previous prime is 225402213097. The next prime is 225402213251. The reversal of 225402213141 is 141312204522.

225402213141 is a `hidden beast` number, since 2 + 2 + 5 + 402 + 213 + 1 + 41 = 666.

It is not a de Polignac number, because 225402213141 - 27 = 225402213013 is a prime.

It is a super-3 number, since 3×2254022131413 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225402213341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6944535 + ... + 6976916.

It is an arithmetic number, because the mean of its divisors is an integer number (15564183336).

Almost surely, 2225402213141 is an apocalyptic number.

225402213141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

225402213141 is a deficient number, since it is larger than the sum of its proper divisors (148138186923).

225402213141 is a wasteful number, since it uses less digits than its factorization.

225402213141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13921721 (or 13921718 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 225402213141 its reverse (141312204522), we get a palindrome (366714417663).

The spelling of 225402213141 in words is "two hundred twenty-five billion, four hundred two million, two hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 63 257 771 1799 2313 5397 16191 13921451 41764353 97450157 125293059 292350471 877051413 3577812907 10733438721 25044690349 32200316163 75134071047 225402213141