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21859144 = 2317971657
BaseRepresentation
bin101001101100…
…0101101001000
31112010120002221
41103120231020
521043443034
62100303424
7353541166
oct123305510
945116087
1021859144
111138010a
1273a1b74
1346b4708
142c90236
151dbbbb4
hex14d8b48

21859144 has 32 divisors (see below), whose sum is σ = 43870680. Its totient is φ = 10174464.

The previous prime is 21859141. The next prime is 21859147. The reversal of 21859144 is 44195812.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21859141) and next prime (21859147).

It can be written as a sum of positive squares in 4 ways, for example, as 19096900 + 2762244 = 4370^2 + 1662^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (21859141) 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 7 ways as a sum of consecutive naturals, for example, 12364 + ... + 14020.

Almost surely, 221859144 is an apocalyptic number.

It is an amenable number.

21859144 is an abundant number, since it is smaller than the sum of its proper divisors (22011536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21859144 is a wasteful number, since it uses less digits than its factorization.

21859144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1773 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 21859144 is about 4675.3763484879. The cubic root of 21859144 is about 279.6046461133.

The spelling of 21859144 in words is "twenty-one million, eight hundred fifty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 34 68 97 136 194 388 776 1649 1657 3298 3314 6596 6628 13192 13256 28169 56338 112676 160729 225352 321458 642916 1285832 2732393 5464786 10929572 21859144