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226252012 = 227223311619
BaseRepresentation
bin11010111110001…
…01010011101100
3120202201210102011
431133011103230
5430410031022
634241211004
75415052600
oct1537052354
9522653364
10226252012
11106793538
1263930a64
1337b4933c
1422097500
1514ce2977
hexd7c54ec

226252012 has 72 divisors (see below), whose sum is σ = 496419840. Its totient is φ = 89701920.

The previous prime is 226251967. The next prime is 226252021. The reversal of 226252012 is 210252622.

It is a happy number.

226252012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138939 + ... + 140557.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2226252012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226252012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920).

226252012 is an abundant number, since it is smaller than the sum of its proper divisors (270167828).

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

226252012 is a wasteful number, since it uses less digits than its factorization.

226252012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 226252012 is about 15041.6758374857. The cubic root of 226252012 is about 609.3462601287.

The spelling of 226252012 in words is "two hundred twenty-six million, two hundred fifty-two thousand, twelve".

Divisors: 1 2 4 7 14 23 28 31 46 49 62 92 98 124 161 196 217 322 434 644 713 868 1127 1426 1519 1619 2254 2852 3038 3238 4508 4991 6076 6476 9982 11333 19964 22666 34937 37237 45332 50189 69874 74474 79331 100378 139748 148948 158662 200756 260659 317324 351323 521318 702646 1042636 1154347 1405292 1824613 2308694 2459261 3649226 4617388 4918522 7298452 8080429 9837044 16160858 32321716 56563003 113126006 226252012