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226104256401 = 34116773315017
BaseRepresentation
bin1101001010010011011…
…1010010011110010001
3210121121121001022022120
43102210313102132101
512201030142201101
6251512034524453
722223034316542
oct3224467223621
9717547038276
10226104256401
1187987a5a421
12379a1a36729
131842456683a
14ad2cd944c9
155d3506db36
hex34a4dd2791

226104256401 has 32 divisors (see below), whose sum is σ = 311119135488. Its totient is φ = 145969935360.

The previous prime is 226104256393. The next prime is 226104256463. The reversal of 226104256401 is 104652401622.

226104256401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 226104256401 - 23 = 226104256393 is a prime.

It is a super-2 number, since 2×2261042564012 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (226104256501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15049045 + ... + 15064061.

It is an arithmetic number, because the mean of its divisors is an integer number (9722472984).

Almost surely, 2226104256401 is an apocalyptic number.

It is an amenable number.

226104256401 is a deficient number, since it is larger than the sum of its proper divisors (85014879087).

226104256401 is a wasteful number, since it uses less digits than its factorization.

226104256401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15961.

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 226104256401 in words is "two hundred twenty-six billion, one hundred four million, two hundred fifty-six thousand, four hundred one".

Divisors: 1 3 41 123 167 501 733 2199 6847 15017 20541 30053 45051 90159 122411 367233 615697 1847091 2507839 5018851 7523517 11007461 15056553 33022383 102821399 308464197 451305901 1353917703 1838245987 5514737961 75368085467 226104256401