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22420101 = 31123109271
BaseRepresentation
bin101010110000…
…1101010000101
31120012001121010
41111201222011
521214420401
62120312433
7361365504
oct125415205
946161533
1022420101
1111723610
127612719
13484cb42
142d9883b
151e7ced6
hex1561a85

22420101 has 32 divisors (see below), whose sum is σ = 34467840. Its totient is φ = 12830400.

The previous prime is 22420087. The next prime is 22420117. The reversal of 22420101 is 10102422.

It is not a de Polignac number, because 22420101 - 27 = 22419973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22420141) 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 31 ways as a sum of consecutive naturals, for example, 82596 + ... + 82866.

It is an arithmetic number, because the mean of its divisors is an integer number (1077120).

Almost surely, 222420101 is an apocalyptic number.

It is an amenable number.

22420101 is a deficient number, since it is larger than the sum of its proper divisors (12047739).

22420101 is a wasteful number, since it uses less digits than its factorization.

22420101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 22420101 is about 4734.9869060009. The cubic root of 22420101 is about 281.9762441635.

Adding to 22420101 its reverse (10102422), we get a palindrome (32522523).

The spelling of 22420101 in words is "twenty-two million, four hundred twenty thousand, one hundred one".

Divisors: 1 3 11 23 33 69 109 253 271 327 759 813 1199 2507 2981 3597 6233 7521 8943 18699 27577 29539 68563 82731 88617 205689 324929 679397 974787 2038191 7473367 22420101