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226210320 = 2434574987
BaseRepresentation
bin11010111101110…
…11001000010000
3120202122200020000
431132323020100
5430402212240
634240250000
75414520210
oct1536731020
9522580200
10226210320
11106765186
1263910900
1337b3337b
1422086240
1514cd5430
hexd7bb210

226210320 has 200 divisors, whose sum is σ = 898079424. Its totient is φ = 51694848.

The previous prime is 226210297. The next prime is 226210343. The reversal of 226210320 is 23012622.

226210320 is a `hidden beast` number, since 22 + 621 + 0 + 3 + 20 = 666.

226210320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226210297) and next prime (226210343).

It is a super-2 number, since 2×2262103202 = 102342217749004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 226210293 and 226210302.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42867 + ... + 47853.

Almost surely, 2226210320 is an apocalyptic number.

226210320 is a gapful number since it is divisible by the number (20) 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 226210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449039712).

226210320 is an abundant number, since it is smaller than the sum of its proper divisors (671869104).

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

226210320 is a wasteful number, since it uses less digits than its factorization.

226210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 226210320 is about 15040.2898908232. The cubic root of 226210320 is about 609.3088292646.

Adding to 226210320 its reverse (23012622), we get a palindrome (249222942).

The spelling of 226210320 in words is "two hundred twenty-six million, two hundred ten thousand, three hundred twenty".