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226146706024001 = 7252366371329599
BaseRepresentation
bin110011011010110111100010…
…000101000110011001000001
31002122201102011202220022101212
4303122313202011012121001
5214120141423220232001
62120550210145535505
765430363123436400
oct6332674205063101
91078642152808355
10226146706024001
116606a308a10a74
12214448b6344595
1399257098cb719
143dbb7b7b73637
151b228dc6c97bb
hexcdade2146641

226146706024001 has 24 divisors (see below), whose sum is σ = 263611527206400. Its totient is φ = 193440107079072.

The previous prime is 226146706023949. The next prime is 226146706024049. The reversal of 226146706024001 is 100420607641622.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-226146706024001 is a prime.

It is a super-2 number, since 2×2261467060240012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 226146706024001.

It is not an unprimeable number, because it can be changed into a prime (226146706014001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169421600 + ... + 170751198.

It is an arithmetic number, because the mean of its divisors is an integer number (10983813633600).

Almost surely, 2226146706024001 is an apocalyptic number.

It is an amenable number.

226146706024001 is a deficient number, since it is larger than the sum of its proper divisors (37464821182399).

226146706024001 is a wasteful number, since it uses less digits than its factorization.

226146706024001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336773 (or 1336766 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 226146706024001 in words is "two hundred twenty-six trillion, one hundred forty-six billion, seven hundred six million, twenty-four thousand, one".

Divisors: 1 7 49 523 3661 6637 25627 46459 325213 1329599 3471151 9307193 24298057 65150351 170086399 695380277 4867661939 8824548563 34073633573 61771839941 432402879587 4615238898449 32306672289143 226146706024001