Search a number
-
+
226451142342 = 23356922673251
BaseRepresentation
bin1101001011100110001…
…0100011011011000110
3210122111202202221101000
43102321202203123012
512202232443023332
6252010305514130
722234445644035
oct3227142433306
9718452687330
10226451142342
1188045847a17
1237a7a042946
131847b39c4a9
14ad6309071c
155d5573eb7c
hex34b98a36c6

226451142342 has 64 divisors (see below), whose sum is σ = 504486662400. Its totient is φ = 75294648000.

The previous prime is 226451142319. The next prime is 226451142367. The reversal of 226451142342 is 243241154622.

226451142342 is a `hidden beast` number, since 2 + 2 + 64 + 511 + 42 + 3 + 42 = 666.

226451142342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 226451142297 and 226451142306.

It is a congruent number.

It is an unprimeable number.

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, 69654217 + ... + 69657467.

It is an arithmetic number, because the mean of its divisors is an integer number (7882604100).

Almost surely, 2226451142342 is an apocalyptic number.

226451142342 is an abundant number, since it is smaller than the sum of its proper divisors (278035520058).

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

226451142342 is a wasteful number, since it uses less digits than its factorization.

226451142342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6098 (or 6092 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 226451142342 its reverse (243241154622), we get a palindrome (469692296964).

The spelling of 226451142342 in words is "two hundred twenty-six billion, four hundred fifty-one million, one hundred forty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 569 1138 1707 2267 3251 3414 4534 5121 6502 6801 9753 10242 13602 15363 19506 20403 29259 30726 40806 58518 61209 87777 122418 175554 1289923 1849819 2579846 3699638 3869769 5549457 7370017 7739538 11098914 11609307 14740034 16648371 22110051 23218614 33296742 34827921 44220102 49945113 66330153 69655842 99890226 132660306 198990459 397980918 4193539673 8387079346 12580619019 25161238038 37741857057 75483714114 113225571171 226451142342