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225150241005 = 345712110281
BaseRepresentation
bin1101000110110000000…
…0000000100011101101
3210112011002220022020000
43101230000000203231
512142101430203010
6251233235014513
722160301320544
oct3215400004355
9715132808200
10225150241005
1187538494548
123777643a439
1318301a0a1a1
14ac7c3b715b
155ccb4227c0
hex346c0008ed

225150241005 has 60 divisors (see below), whose sum is σ = 409370974716. Its totient is φ = 118387785600.

The previous prime is 225150240989. The next prime is 225150241027. The reversal of 225150241005 is 500142051522.

225150241005 is a `hidden beast` number, since 2 + 2 + 51 + 502 + 4 + 100 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72715436964 + 152434804041 = 269658^2 + 390429^2 .

It is not a de Polignac number, because 225150241005 - 24 = 225150240989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 225150241005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1986465 + ... + 2096745.

Almost surely, 2225150241005 is an apocalyptic number.

It is an amenable number.

225150241005 is a deficient number, since it is larger than the sum of its proper divisors (184220733711).

225150241005 is an equidigital number, since it uses as much as digits as its factorization.

225150241005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110440 (or 110360 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 225150241005 its reverse (500142051522), we get a palindrome (725292292527).

The spelling of 225150241005 in words is "two hundred twenty-five billion, one hundred fifty million, two hundred forty-one thousand, five".

Divisors: 1 3 5 9 15 27 45 71 81 135 213 355 405 639 1065 1917 3195 5041 5751 9585 15123 25205 28755 45369 75615 110281 136107 226845 330843 408321 551405 680535 992529 1654215 2041605 2977587 4962645 7829951 8932761 14887935 23489853 39149755 44663805 70469559 117449265 211408677 352347795 555926521 634226031 1057043385 1667779563 2779632605 3171130155 5003338689 8338897815 15010016067 25016693445 45030048201 75050080335 225150241005