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225723745071 = 321119728316477
BaseRepresentation
bin1101001000111000101…
…1110000001100101111
3210120122002001022220100
43102032023300030233
512144240234320241
6251410203122143
722210434114216
oct3221613601457
9716562038810
10225723745071
1187802195650
12378b6513353
13183937899c6
14acd462407d
155d119599b6
hex348e2f032f

225723745071 has 48 divisors (see below), whose sum is σ = 374480346240. Its totient is φ = 129576490560.

The previous prime is 225723745057. The next prime is 225723745087. The reversal of 225723745071 is 170547327522.

225723745071 is a `hidden beast` number, since 2 + 2 + 5 + 72 + 3 + 74 + 507 + 1 = 666.

225723745071 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225723745071 - 26 = 225723745007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225723741071) 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 47 ways as a sum of consecutive naturals, for example, 13691085 + ... + 13707561.

It is an arithmetic number, because the mean of its divisors is an integer number (7801673880).

Almost surely, 2225723745071 is an apocalyptic number.

225723745071 is a deficient number, since it is larger than the sum of its proper divisors (148756601169).

225723745071 is a wasteful number, since it uses less digits than its factorization.

225723745071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23796 (or 23793 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 225723745071 in words is "two hundred twenty-five billion, seven hundred twenty-three million, seven hundred forty-five thousand, seventy-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 7283 16477 21849 49431 65547 80113 138377 148293 181247 240339 313063 415131 543741 721017 939189 1245393 1522147 1631223 2817567 3443693 4566441 10331079 13699323 30993237 120001991 360005973 1080017919 1320021901 2280037829 3960065703 6840113487 11880197109 20520340461 25080416119 75241248357 225723745071