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22157001 = 3217144817
BaseRepresentation
bin101010010000…
…1011011001001
31112200200200200
41110201123021
521133011001
62110522413
7356221446
oct124413311
945620620
1022157001
1111563979
127506409
13478a169
142d2a9cd
151e2a086
hex15216c9

22157001 has 12 divisors (see below), whose sum is σ = 33887412. Its totient is φ = 13902336.

The previous prime is 22156999. The next prime is 22157011. The reversal of 22157001 is 10075122.

It can be written as a sum of positive squares in 2 ways, for example, as 16281225 + 5875776 = 4035^2 + 2424^2 .

It is not a de Polignac number, because 22157001 - 21 = 22156999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22157011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72256 + ... + 72561.

It is an arithmetic number, because the mean of its divisors is an integer number (2823951).

Almost surely, 222157001 is an apocalyptic number.

It is an amenable number.

22157001 is a deficient number, since it is larger than the sum of its proper divisors (11730411).

22157001 is a wasteful number, since it uses less digits than its factorization.

22157001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144840 (or 144837 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 22157001 is about 4707.1223693463. The cubic root of 22157001 is about 280.8689036961.

It can be divided in two parts, 2215 and 7001, that added together give a square (9216 = 962).

The spelling of 22157001 in words is "twenty-two million, one hundred fifty-seven thousand, one".

Divisors: 1 3 9 17 51 153 144817 434451 1303353 2461889 7385667 22157001