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226150655809 = 13215722332
BaseRepresentation
bin1101001010011110100…
…0010010011101000001
3210121201211100122100011
43102213220102131001
512201124031441214
6251520413224521
722224136600021
oct3224750223501
9717654318304
10226150655809
1187a01170a41
12379b5492141
1318431061100
14ad351d1a81
155d39186ac4
hex34a7a12741

226150655809 has 27 divisors (see below), whose sum is σ = 247517027163. Its totient is φ = 206534570112.

The previous prime is 226150655803. The next prime is 226150655839. The reversal of 226150655809 is 908556051622.

It is a happy number.

The square root of 226150655809 is 475553.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 221968188225 + 4182467584 = 471135^2 + 64672^2 .

It is a de Polignac number, because none of the positive numbers 2k-226150655809 is a prime.

It is a super-2 number, since 2×2261506558092 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226150655803) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 970603557 + ... + 970603789.

Almost surely, 2226150655809 is an apocalyptic number.

226150655809 is the 475553-rd square number.

226150655809 is the 237777-th centered octagonal number.

It is an amenable number.

226150655809 is a deficient number, since it is larger than the sum of its proper divisors (21366371354).

226150655809 is an frugal number, since it uses more digits than its factorization.

226150655809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 49.

Multiplying 226150655809 by its sum of digits (49), we get a square (11081382134641 = 33288712).

The spelling of 226150655809 in words is "two hundred twenty-six billion, one hundred fifty million, six hundred fifty-five thousand, eight hundred nine".

Divisors: 1 13 157 169 233 2041 3029 24649 26533 36581 39377 54289 320437 475553 705757 4165681 5743217 6182189 8523373 9174841 74661821 110803849 970603673 1338169561 1440450037 17396204293 226150655809