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226402072245 = 33537314093191
BaseRepresentation
bin1101001011011010011…
…1010111011010110101
3210122101100102220212000
43102312213113122311
512202132412302440
6252001354045513
722233311601366
oct3226647273265
9718340386760
10226402072245
1188020081918
1237a65719899
131847117b42b
14ad5a759b6d
155d5129a730
hex34b69d76b5

226402072245 has 64 divisors (see below), whose sum is σ = 403984627200. Its totient is φ = 120300871680.

The previous prime is 226402072231. The next prime is 226402072297. The reversal of 226402072245 is 542270204622.

226402072245 is a `hidden beast` number, since 2 + 2 + 6 + 402 + 0 + 7 + 2 + 245 = 666.

It is not a de Polignac number, because 226402072245 - 24 = 226402072229 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70948600 + ... + 70951790.

It is an arithmetic number, because the mean of its divisors is an integer number (6312259800).

Almost surely, 2226402072245 is an apocalyptic number.

It is an amenable number.

226402072245 is a deficient number, since it is larger than the sum of its proper divisors (177582554955).

226402072245 is a wasteful number, since it uses less digits than its factorization.

226402072245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4987 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 226402072245 its reverse (542270204622), we get a palindrome (768672276867).

The spelling of 226402072245 in words is "two hundred twenty-six billion, four hundred two million, seventy-two thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 373 1119 1409 1865 3191 3357 4227 5595 7045 9573 10071 12681 15955 16785 21135 28719 38043 47865 50355 63405 86157 143595 190215 430785 525557 1190243 1576671 2627785 3570729 4496119 4730013 5951215 7883355 10712187 13488357 14190039 17853645 22480595 23650065 32136561 40465071 53560935 67441785 70950195 121395213 160682805 202325355 606976065 1677052387 5031157161 8385261935 15093471483 25155785805 45280414449 75467357415 226402072245