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225236098164 = 223711892738899
BaseRepresentation
bin1101000111000100011…
…1100001110001110100
3210112101002110022002210
43101301013201301310
512142240420120124
6251245543133420
722162363150140
oct3216107416164
9715332408083
10225236098164
11875819a6280
123779b144270
131831673b53c
14ac89966220
155cd3c31a29
hex34711e1c74

225236098164 has 96 divisors (see below), whose sum is σ = 662594688000. Its totient is φ = 57845525760.

The previous prime is 225236098151. The next prime is 225236098169. The reversal of 225236098164 is 461890632522.

It is a happy number.

It is a super-2 number, since 2×2252360981642 (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 (225236098169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1287214 + ... + 1451685.

It is an arithmetic number, because the mean of its divisors is an integer number (6902028000).

Almost surely, 2225236098164 is an apocalyptic number.

It is an amenable number.

225236098164 is an abundant number, since it is smaller than the sum of its proper divisors (437358589836).

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

225236098164 is a wasteful number, since it uses less digits than its factorization.

225236098164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739013 (or 2739011 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 225236098164 in words is "two hundred twenty-five billion, two hundred thirty-six million, ninety-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 89 132 154 178 231 267 308 356 462 534 623 924 979 1068 1246 1869 1958 2492 2937 3738 3916 5874 6853 7476 11748 13706 20559 27412 41118 82236 2738899 5477798 8216697 10955596 16433394 19172293 30127889 32866788 38344586 57516879 60255778 76689172 90383667 115033758 120511556 180767334 210895223 230067516 243762011 361534668 421790446 487524022 632685669 731286033 843580892 975048044 1265371338 1462572066 1706334077 2530742676 2681382121 2925144132 3412668154 5119002231 5362764242 6825336308 8044146363 10238004462 10725528484 16088292726 18769674847 20476008924 32176585452 37539349694 56309024541 75078699388 112618049082 225236098164