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2220335426241 = 32432115512
BaseRepresentation
bin100000010011110110010…
…011011110101011000001
321212021001222211020000100
4200103312103132223001
5242334221332114431
64420001421513013
7316261660504032
oct40236623365301
97767058736010
102220335426241
11786703511779
122ba395a12769
131314b88b0a2a
147967160ca89
153cb518784e6
hex204f64deac1

2220335426241 has 27 divisors (see below), whose sum is σ = 3283754898177. Its totient is φ = 1445674645800.

The previous prime is 2220335426191. The next prime is 2220335426297. The reversal of 2220335426241 is 1426245330222.

The square root of 2220335426241 is 1490079.

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

2220335426241 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 3 + 354 + 262 + 41 = 666.

It is not a de Polignac number, because 2220335426241 - 29 = 2220335425729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2220335426196 and 2220335426205.

It is not an unprimeable number, because it can be changed into a prime (2220335426041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 192214416 + ... + 192225966.

Almost surely, 22220335426241 is an apocalyptic number.

2220335426241 is the 1490079-th square number.

2220335426241 is the 745040-th centered octagonal number.

It is an amenable number.

2220335426241 is a deficient number, since it is larger than the sum of its proper divisors (1063419471936).

2220335426241 is an frugal number, since it uses more digits than its factorization.

2220335426241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23194 (or 11597 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Multiplying 2220335426241 by its sum of digits (36), we get a square (79932075344676 = 89404742).

The spelling of 2220335426241 in words is "two trillion, two hundred twenty billion, three hundred thirty-five million, four hundred twenty-six thousand, two hundred forty-one".

Divisors: 1 3 9 43 129 387 1849 5547 11551 16641 34653 103959 496693 1490079 4470237 21357799 64073397 133425601 192220191 400276803 1200830409 5737300843 17211902529 51635707587 246703936249 740111808747 2220335426241