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23433180241 = 47232572
BaseRepresentation
bin10101110100101110…
…011111010001010001
32020111002122220011111
4111310232133101101
5340442343231431
614433130213321
71456460513512
oct256456372121
966432586144
1023433180241
119a35468169
12465b884241
132295a4a133
1411c424ca09
159223797b1
hex574b9f451

23433180241 has 9 divisors (see below), whose sum is σ = 23949719899. Its totient is φ = 22927560304.

The previous prime is 23433180203. The next prime is 23433180247. The reversal of 23433180241 is 14208133432.

It is a happy number.

The square root of 23433180241 is 153079.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20080307025 + 3352873216 = 141705^2 + 57904^2 .

It is a de Polignac number, because none of the positive numbers 2k-23433180241 is a prime.

It is a super-2 number, since 2×234331802412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23433180247) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 7193085 + ... + 7196341.

Almost surely, 223433180241 is an apocalyptic number.

23433180241 is the 153079-th square number.

23433180241 is the 76540-th centered octagonal number.

It is an amenable number.

23433180241 is a deficient number, since it is larger than the sum of its proper divisors (516539658).

23433180241 is an frugal number, since it uses more digits than its factorization.

23433180241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6608 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 23433180241 in words is "twenty-three billion, four hundred thirty-three million, one hundred eighty thousand, two hundred forty-one".

Divisors: 1 47 2209 3257 153079 7194713 10608049 498578303 23433180241