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22340947501 = 613001122041
BaseRepresentation
bin10100110011100111…
…111100111000101101
32010122222102201112001
4110303213330320231
5331223240310001
614132512012301
71420425630505
oct246347747055
963588381461
1022340947501
119524978584
1243b5b31091
132150688982
14111d172a05
158ab52a001
hex5339fce2d

22340947501 has 8 divisors (see below), whose sum is σ = 22714945208. Its totient is φ = 21967200000.

The previous prime is 22340947481. The next prime is 22340947513. The reversal of 22340947501 is 10574904322.

It can be written as a sum of positive squares in 4 ways, for example, as 28355625 + 22312591876 = 5325^2 + 149374^2 .

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

It is a 4-Lehmer number, since φ(22340947501) divides (22340947501-1)4.

It is a cyclic number.

It is not a de Polignac number, because 22340947501 - 229 = 21804076589 is a prime.

It is a deceptive number, since it divides R22340947500.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22340957501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122041 + ... + 244081.

It is an arithmetic number, because the mean of its divisors is an integer number (2839368151).

It is a Poulet number, since it divides 222340947500-1.

Almost surely, 222340947501 is an apocalyptic number.

22340947501 is the 122041-st pentagonal number.

It is an amenable number.

22340947501 is a deficient number, since it is larger than the sum of its proper divisors (373997707).

22340947501 is a wasteful number, since it uses less digits than its factorization.

22340947501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125103.

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 22340947501 in words is "twenty-two billion, three hundred forty million, nine hundred forty-seven thousand, five hundred one".

Divisors: 1 61 3001 122041 183061 7444501 366245041 22340947501