Search a number
-
+
225720079704 = 23337149285767
BaseRepresentation
bin1101001000110111110…
…1110001010101011000
3210120121211011002222000
43102031331301111120
512144233320022304
6251405552401000
722210361010060
oct3221575612530
9716554132860
10225720079704
1187800111819
12378b5246160
1318392aa5552
14acd3d4c3a0
155d11483939
hex348df71558

225720079704 has 64 divisors (see below), whose sum is σ = 716571686400. Its totient is φ = 64491450912.

The previous prime is 225720079703. The next prime is 225720079723. The reversal of 225720079704 is 407970027522.

225720079704 is a `hidden beast` number, since 2 + 2 + 572 + 0 + 0 + 7 + 9 + 70 + 4 = 666.

225720079704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2257200797042 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225720079704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225720079703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74641372 + ... + 74644395.

It is an arithmetic number, because the mean of its divisors is an integer number (11196432600).

Almost surely, 2225720079704 is an apocalyptic number.

225720079704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225720079704 is an abundant number, since it is smaller than the sum of its proper divisors (490851606696).

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

225720079704 is a wasteful number, since it uses less digits than its factorization.

225720079704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149285789 (or 149285779 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 225720079704 in words is "two hundred twenty-five billion, seven hundred twenty million, seventy-nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 149285767 298571534 447857301 597143068 895714602 1045000369 1194286136 1343571903 1791429204 2090000738 2687143806 3135001107 3582858408 4030715709 4180001476 5374287612 6270002214 8061431418 8360002952 9405003321 10748575224 12540004428 16122862836 18810006642 25080008856 28215009963 32245725672 37620013284 56430019926 75240026568 112860039852 225720079704