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226023504 = 24371135953
BaseRepresentation
bin11010111100011…
…01100001010000
3120202022011221220
431132031201100
5430330223004
634232245040
75413111440
oct1536154120
9522264856
10226023504
11106647893
1263840780
1337a99325
1422038120
1514c99dd9
hexd78d850

226023504 has 80 divisors (see below), whose sum is σ = 673325952. Its totient is φ = 63995904.

The previous prime is 226023481. The next prime is 226023527. The reversal of 226023504 is 405320622.

It is an interprime number because it is at equal distance from previous prime (226023481) and next prime (226023527).

It is a super-3 number, since 3×2260235043 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34992 + ... + 40944.

Almost surely, 2226023504 is an apocalyptic number.

226023504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226023504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336662976).

226023504 is an abundant number, since it is smaller than the sum of its proper divisors (447302448).

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

226023504 is a wasteful number, since it uses less digits than its factorization.

226023504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084 (or 6078 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 226023504 is about 15034.0780894606. The cubic root of 226023504 is about 609.1410503177.

It can be divided in two parts, 22602 and 3504, that added together give a triangular number (26106 = T228).

The spelling of 226023504 in words is "two hundred twenty-six million, twenty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 168 226 336 339 452 678 791 904 1356 1582 1808 2373 2712 3164 4746 5424 5953 6328 9492 11906 12656 17859 18984 23812 35718 37968 41671 47624 71436 83342 95248 125013 142872 166684 250026 285744 333368 500052 666736 672689 1000104 1345378 2000208 2018067 2690756 4036134 4708823 5381512 8072268 9417646 10763024 14126469 16144536 18835292 28252938 32289072 37670584 56505876 75341168 113011752 226023504