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226161504 = 2533261761
BaseRepresentation
bin11010111101011…
…11001101100000
3120202120012021000
431132233031200
5430344132004
634235232000
75414224662
oct1536571540
9522505230
10226161504
11106731538
12638a8600
1337b1709a
1422072532
1514cc5c39
hexd7af360

226161504 has 48 divisors (see below), whose sum is σ = 659640240. Its totient is φ = 75386880.

The previous prime is 226161499. The next prime is 226161569. The reversal of 226161504 is 405161622.

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

It is a super-2 number, since 2×2261615042 = 102298051783084032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130017 + ... + 131744.

It is an arithmetic number, because the mean of its divisors is an integer number (13742505).

Almost surely, 2226161504 is an apocalyptic number.

226161504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226161504 is an abundant number, since it is smaller than the sum of its proper divisors (433478736).

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

226161504 is a wasteful number, since it uses less digits than its factorization.

226161504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261780 (or 261766 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 226161504 is about 15038.6669622011. Note that the first 3 decimals coincide. The cubic root of 226161504 is about 609.2649966643.

The spelling of 226161504 in words is "two hundred twenty-six million, one hundred sixty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 261761 523522 785283 1047044 1570566 2094088 2355849 3141132 4188176 4711698 6282264 7067547 8376352 9423396 12564528 14135094 18846792 25129056 28270188 37693584 56540376 75387168 113080752 226161504