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226142751220527 = 3538309140032801
BaseRepresentation
bin110011011010110011110110…
…010110101110001100101111
31002122201000222011020110221010
4303122303312112232030233
5214120110323303024102
62120544313512440303
765430163122243201
oct6332636626561457
91078630864213833
10226142751220527
1166068669597649
1221443b919a9093
139925229472c1b
143dbb520826771
151b2275a3d0d6c
hexcdacf65ae32f

226142751220527 has 8 divisors (see below), whose sum is σ = 301524230578480. Its totient is φ = 150761553004800.

The previous prime is 226142751220501. The next prime is 226142751220601. The reversal of 226142751220527 is 725022157241622.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-226142751220527 is a prime.

It is a super-2 number, since 2×2261427512205272 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226142752220527) 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 7 ways as a sum of consecutive naturals, for example, 68401474 + ... + 71631327.

It is an arithmetic number, because the mean of its divisors is an integer number (37690528822310).

Almost surely, 2226142751220527 is an apocalyptic number.

226142751220527 is a deficient number, since it is larger than the sum of its proper divisors (75381479357953).

226142751220527 is a wasteful number, since it uses less digits than its factorization.

226142751220527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140571113.

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 226142751220527 in words is "two hundred twenty-six trillion, one hundred forty-two billion, seven hundred fifty-one million, two hundred twenty thousand, five hundred twenty-seven".

Divisors: 1 3 538309 1614927 140032801 420098403 75380917073509 226142751220527