Search a number
-
+
226486424649408 = 26371131494183827
BaseRepresentation
bin110011011111110011111010…
…111000110011111011000000
31002200220220001100102120021020
4303133303322320303323000
5214141223144202240113
62121410232131025440
765464050511215540
oct6337637270637300
91080826040376236
10226486424649408
1166190398253420
122149a70543b280
13994b769403631
143dd0003d5b320
151b2b671ce0023
hexcdfcfae33ec0

226486424649408 has 224 divisors, whose sum is σ = 771211421564928. Its totient is φ = 56929976755200.

The previous prime is 226486424649293. The next prime is 226486424649409. The reversal of 226486424649408 is 804946424684622.

It is a happy number.

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

It is a super-2 number, since 2×2264864246494082 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226486424649409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246633610 + ... + 247550217.

Almost surely, 2226486424649408 is an apocalyptic number.

226486424649408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

226486424649408 is an abundant number, since it is smaller than the sum of its proper divisors (544724996915520).

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

226486424649408 is a wasteful number, since it uses less digits than its factorization.

226486424649408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494183891 (or 494183881 counting only the distinct ones).

The product of its (nonzero) digits is 1019215872, while the sum is 69.

The spelling of 226486424649408 in words is "two hundred twenty-six trillion, four hundred eighty-six billion, four hundred twenty-four million, six hundred forty-nine thousand, four hundred eight".