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22722541 = 97433541
BaseRepresentation
bin101011010101…
…1011111101101
31120202102110121
41112223133231
521304110131
62131004541
7364065322
oct126533755
946672417
1022722541
111190a866
127739751
1349276ba
143036b49
151edc911
hex15ab7ed

22722541 has 8 divisors (see below), whose sum is σ = 23052344. Its totient is φ = 22394880.

The previous prime is 22722527. The next prime is 22722547. The reversal of 22722541 is 14522722.

It can be written as a sum of positive squares in 4 ways, for example, as 198025 + 22524516 = 445^2 + 4746^2 .

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

It is a 7-Lehmer number, since φ(22722541) divides (22722541-1)7.

It is a cyclic number.

It is not a de Polignac number, because 22722541 - 25 = 22722509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22722547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41731 + ... + 42271.

It is an arithmetic number, because the mean of its divisors is an integer number (2881543).

Almost surely, 222722541 is an apocalyptic number.

It is an amenable number.

22722541 is a deficient number, since it is larger than the sum of its proper divisors (329803).

22722541 is an equidigital number, since it uses as much as digits as its factorization.

22722541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071.

The product of its digits is 2240, while the sum is 25.

The square root of 22722541 is about 4766.8166526520. The cubic root of 22722541 is about 283.2385083678.

The spelling of 22722541 in words is "twenty-two million, seven hundred twenty-two thousand, five hundred forty-one".

Divisors: 1 97 433 541 42001 52477 234253 22722541