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225117225264648 = 23325006513750977
BaseRepresentation
bin110011001011111000110000…
…001111101010011000001000
31002112001222220111020010210210
4303023320300033222120020
5214001310034131432043
62114441231532241120
765263116462402543
oct6313706017523010
91075058814203723
10225117225264648
1165802751960252
12212b92873101a0
13987c6039cb7a2
143d83a3624585a
151b05c37c03633
hexccbe303ea608

225117225264648 has 32 divisors (see below), whose sum is σ = 562793438259360. Its totient is φ = 75039025075200.

The previous prime is 225117225264641. The next prime is 225117225264697. The reversal of 225117225264648 is 846462522711522.

It is a Cunningham number, because it is equal to 150039072-1.

It is a super-2 number, since 2×2251172252646482 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225117225264641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58140136 + ... + 61891112.

It is an arithmetic number, because the mean of its divisors is an integer number (17587294945605).

Almost surely, 2225117225264648 is an apocalyptic number.

It is an amenable number.

225117225264648 is an abundant number, since it is smaller than the sum of its proper divisors (337676212994712).

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

225117225264648 is a wasteful number, since it uses less digits than its factorization.

225117225264648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6251637 (or 6251633 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 57.

The spelling of 225117225264648 in words is "two hundred twenty-five trillion, one hundred seventeen billion, two hundred twenty-five million, two hundred sixty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 2500651 3750977 5001302 7501953 7501954 10002604 11252931 15003906 15003908 20005208 22505862 30007812 30007816 45011724 60015624 90023448 9379884386027 18759768772054 28139653158081 37519537544108 56279306316162 75039075088216 112558612632324 225117225264648