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226122146010 = 23252512468289
BaseRepresentation
bin1101001010010111101…
…1100010000011011010
3210121122211201012020200
43102211323202003122
512201044232133020
6251513514203030
722223342346045
oct3224573420332
9717584635220
10226122146010
1187997069122
12379a7a23476
131842818b4c7
14ad314cdc5c
155d36904590
hex34a5ee20da

226122146010 has 24 divisors (see below), whose sum is σ = 587917579860. Its totient is φ = 60299238912.

The previous prime is 226122145967. The next prime is 226122146017. The reversal of 226122146010 is 10641221622.

226122146010 is a `hidden beast` number, since 2 + 2 + 612 + 2 + 1 + 46 + 0 + 1 + 0 = 666.

226122146010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 225931954329 + 190191681 = 475323^2 + 13791^2 .

It is a super-2 number, since 2×2261221460102 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226122146017) 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 11 ways as a sum of consecutive naturals, for example, 1256234055 + ... + 1256234234.

Almost surely, 2226122146010 is an apocalyptic number.

226122146010 is an abundant number, since it is smaller than the sum of its proper divisors (361795433850).

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

226122146010 is a wasteful number, since it uses less digits than its factorization.

226122146010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512468302 (or 2512468299 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 226122146010 its reverse (10641221622), we get a palindrome (236763367632).

The spelling of 226122146010 in words is "two hundred twenty-six billion, one hundred twenty-two million, one hundred forty-six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2512468289 5024936578 7537404867 12562341445 15074809734 22612214601 25124682890 37687024335 45224429202 75374048670 113061073005 226122146010