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225720079640 = 23511513000181
BaseRepresentation
bin1101001000110111110…
…1110001010100011000
3210120121211011002212122
43102031331301110120
512144233320022030
6251405552400412
722210361006636
oct3221575612430
9716554132778
10225720079640
1187800111770
12378b5246108
1318392aa5503
14acd3d4c356
155d114838e5
hex348df71518

225720079640 has 32 divisors (see below), whose sum is σ = 554040196560. Its totient is φ = 82080028800.

The previous prime is 225720079639. The next prime is 225720079649. The reversal of 225720079640 is 46970027522.

225720079640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2257200796403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 225720079591 and 225720079600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225720079649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256499651 + ... + 256500530.

Almost surely, 2225720079640 is an apocalyptic number.

225720079640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225720079640 is an abundant number, since it is smaller than the sum of its proper divisors (328320116920).

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

225720079640 is a wasteful number, since it uses less digits than its factorization.

225720079640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513000203 (or 513000199 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 225720079640 in words is "two hundred twenty-five billion, seven hundred twenty million, seventy-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 513000181 1026000362 2052000724 2565000905 4104001448 5130001810 5643001991 10260003620 11286003982 20520007240 22572007964 28215009955 45144015928 56430019910 112860039820 225720079640