Search a number
-
+
225396873559 = 112132311073323
BaseRepresentation
bin1101000111101010110…
…0110101100101010111
3210112210021222112111001
43101322230311211113
512143103044423214
6251313525124131
722166354546104
oct3217254654527
9715707875431
10225396873559
1187654728200
1237824b59647
1318340b40c00
14aca3057aab
155ce2dddc74
hex347ab35957

225396873559 has 72 divisors (see below), whose sum is σ = 279600201216. Its totient is φ = 181277553600.

The previous prime is 225396873553. The next prime is 225396873607. The reversal of 225396873559 is 955378693522.

It is not a de Polignac number, because 225396873559 - 27 = 225396873431 is a prime.

It is a super-2 number, since 2×2253968735592 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 225396873559.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225396873553) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67827672 + ... + 67830994.

It is an arithmetic number, because the mean of its divisors is an integer number (3883336128).

Almost surely, 2225396873559 is an apocalyptic number.

225396873559 is a deficient number, since it is larger than the sum of its proper divisors (54203327657).

225396873559 is a wasteful number, since it uses less digits than its factorization.

225396873559 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3485 counting only the distinct ones).

The product of its digits is 122472000, while the sum is 64.

The spelling of 225396873559 in words is "two hundred twenty-five billion, three hundred ninety-six million, eight hundred seventy-three thousand, five hundred fifty-nine".

Divisors: 1 11 13 31 107 121 143 169 341 403 1177 1391 1573 1859 3317 3323 3751 4433 5239 12947 15301 18083 20449 36487 36553 43121 43199 48763 57629 103013 168311 198913 355561 401357 402083 474331 475189 560573 561587 633919 1133143 1339169 2188043 3911171 4622293 5217641 5227079 6166303 6177457 11022391 12464573 14730859 17409197 43022881 50845223 60089809 67829333 67952027 121246301 143291083 162039449 191501167 559297453 660987899 1333709311 1576201913 1862784079 2106512837 7270866889 17338221043 20490624869 225396873559