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226050601280 = 26572931112253
BaseRepresentation
bin1101001010000110101…
…0100111000101000000
3210121110212002100022212
43102201222213011000
512200422423220110
6251502440521252
722221513256610
oct3224152470500
9717425070285
10226050601280
118795a742549
1237987a80228
13184163cb84a
14ad25bc8a40
155d304c0e05
hex34a1aa7140

226050601280 has 224 divisors, whose sum is σ = 656928368640. Its totient is φ = 72416010240.

The previous prime is 226050601237. The next prime is 226050601289. The reversal of 226050601280 is 82106050622.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226050601289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1957634 + ... + 2069886.

Almost surely, 2226050601280 is an apocalyptic number.

226050601280 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 226050601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328464184320).

226050601280 is an abundant number, since it is smaller than the sum of its proper divisors (430877767360).

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

226050601280 is a wasteful number, since it uses less digits than its factorization.

226050601280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112337 (or 112327 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 226050601280 in words is "two hundred twenty-six billion, fifty million, six hundred one thousand, two hundred eighty".