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225191044704 = 25310123225149
BaseRepresentation
bin1101000110111001101…
…1101010011001100000
3210112020221200100101010
43101232123222121200
512142142401412304
6251241253340520
722161305204013
oct3215633523140
9715227610333
10225191044704
1187559523a0a
1237788037740
131830a2c57a2
14ac8399937a
155ccecd2789
hex346e6ea660

225191044704 has 48 divisors (see below), whose sum is σ = 596979255600. Its totient is φ = 74320473600.

The previous prime is 225191044703. The next prime is 225191044709. The reversal of 225191044704 is 407440191522.

225191044704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2251910447042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225191044703) 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, 11602879 + ... + 11622270.

It is an arithmetic number, because the mean of its divisors is an integer number (12437067825).

Almost surely, 2225191044704 is an apocalyptic number.

225191044704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225191044704 is an abundant number, since it is smaller than the sum of its proper divisors (371788210896).

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

225191044704 is a wasteful number, since it uses less digits than its factorization.

225191044704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23225263 (or 23225255 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 225191044704 in words is "two hundred twenty-five billion, one hundred ninety-one million, forty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 23225149 46450298 69675447 92900596 139350894 185801192 278701788 371602384 557403576 743204768 1114807152 2229614304 2345740049 4691480098 7037220147 9382960196 14074440294 18765920392 28148880588 37531840784 56297761176 75063681568 112595522352 225191044704