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226246608 = 2436717163
BaseRepresentation
bin11010111110000…
…11111111010000
3120202201112000000
431133003333100
5430404342413
634241130000
75415031050
oct1537037720
9522645000
10226246608
1110678a475
1263929900
1337b46a43
1422095560
1514ce1073
hexd7c3fd0

226246608 has 280 divisors, whose sum is σ = 800180928. Its totient is φ = 60466176.

The previous prime is 226246597. The next prime is 226246619. The reversal of 226246608 is 806642622.

226246608 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 46 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (226246597) and next prime (226246619).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1387935 + ... + 1388097.

Almost surely, 2226246608 is an apocalyptic number.

226246608 is a gapful number since it is divisible by the number (28) 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 226246608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400090464).

226246608 is an abundant number, since it is smaller than the sum of its proper divisors (573934320).

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

226246608 is a wasteful number, since it uses less digits than its factorization.

226246608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 226246608 is about 15041.4962021735. The cubic root of 226246608 is about 609.3414087046.

The spelling of 226246608 in words is "two hundred twenty-six million, two hundred forty-six thousand, six hundred eight".