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10022144 = 28113559
BaseRepresentation
bin100110001110…
…110100000000
3200212011210112
4212032310000
510031202034
6554450452
7151121036
oct46166400
920764715
1010022144
115725870
123433a28
1320cb982
14148c556
15d2e7ce
hex98ed00

10022144 has 36 divisors (see below), whose sum is σ = 21829920. Its totient is φ = 4554240.

The previous prime is 10022143. The next prime is 10022149. The reversal of 10022144 is 44122001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1037 + ... + 4595.

Almost surely, 210022144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10914960).

10022144 is an abundant number, since it is smaller than the sum of its proper divisors (11807776).

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

10022144 is an equidigital number, since it uses as much as digits as its factorization.

10022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 10022144 is about 3165.7769978317. The cubic root of 10022144 is about 215.6023777709.

Adding to 10022144 its reverse (44122001), we get a palindrome (54144145).

The spelling of 10022144 in words is "ten million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 3559 7118 14236 28472 39149 56944 78298 113888 156596 227776 313192 455552 626384 911104 1252768 2505536 5011072 10022144