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225656162700 = 223521077029787
BaseRepresentation
bin1101001000101000100…
…1111100100110001100
3210120110100212210022120
43102022021330212030
512144120434201300
6251355350412540
722205653510113
oct3221211744614
9716410783276
10225656162700
1187778025a51
1237897961150
1318382786737
14acc9670c7a
155d0aa5a3a0
hex348a27c98c

225656162700 has 72 divisors (see below), whose sum is σ = 659000446272. Its totient is φ = 59612585280.

The previous prime is 225656162687. The next prime is 225656162701. The reversal of 225656162700 is 7261656522.

225656162700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225656162701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3482794 + ... + 3546993.

It is an arithmetic number, because the mean of its divisors is an integer number (9152783976).

Almost surely, 2225656162700 is an apocalyptic number.

225656162700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225656162700 is an abundant number, since it is smaller than the sum of its proper divisors (433344283572).

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

225656162700 is a wasteful number, since it uses less digits than its factorization.

225656162700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029911 (or 7029904 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 225656162700 in words is "two hundred twenty-five billion, six hundred fifty-six million, one hundred sixty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 300 321 428 535 642 1070 1284 1605 2140 2675 3210 5350 6420 8025 10700 16050 32100 7029787 14059574 21089361 28119148 35148935 42178722 70297870 84357444 105446805 140595740 175744675 210893610 351489350 421787220 527234025 702978700 752187209 1054468050 1504374418 2108936100 2256561627 3008748836 3760936045 4513123254 7521872090 9026246508 11282808135 15043744180 18804680225 22565616270 37609360450 45131232540 56414040675 75218720900 112828081350 225656162700