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226603137645 = 3255035625281
BaseRepresentation
bin1101001100001010011…
…0010111101001101101
3210122220100210002201200
43103002212113221231
512203040400401040
6252033335400113
722241302614033
oct3230246275155
9718810702650
10226603137645
1188113622275
1237b00b23039
13184a3a19641
14ad79338553
155d63c65630
hex34c2997a6d

226603137645 has 12 divisors (see below), whose sum is σ = 392778771996. Its totient is φ = 120855006720.

The previous prime is 226603137641. The next prime is 226603137679. The reversal of 226603137645 is 546731306622.

226603137645 is a `hidden beast` number, since 2 + 2 + 6 + 603 + 1 + 37 + 6 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 167795917641 + 58807220004 = 409629^2 + 242502^2 .

It is not a de Polignac number, because 226603137645 - 22 = 226603137641 is a prime.

It is a super-3 number, since 3×2266031376453 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 5035625281 = 226603137645 / (2 + 2 + 6 + 6 + 0 + 3 + 1 + 3 + 7 + 6 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 226603137645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226603137641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2517812596 + ... + 2517812685.

It is an arithmetic number, because the mean of its divisors is an integer number (32731564333).

Almost surely, 2226603137645 is an apocalyptic number.

It is an amenable number.

226603137645 is a deficient number, since it is larger than the sum of its proper divisors (166175634351).

226603137645 is a wasteful number, since it uses less digits than its factorization.

226603137645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035625292 (or 5035625289 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 226603137645 in words is "two hundred twenty-six billion, six hundred three million, one hundred thirty-seven thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 5035625281 15106875843 25178126405 45320627529 75534379215 226603137645