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220023104 = 267661743
BaseRepresentation
bin11010001110101…
…00100101000000
3120100000022221212
431013110211000
5422311214404
633455505252
75311110530
oct1507244500
9510008855
10220023104
11103219684
1261828228
13367780b2
14213154c0
15144b206e
hexd1d4940

220023104 has 56 divisors (see below), whose sum is σ = 500408448. Its totient is φ = 94026240.

The previous prime is 220023101. The next prime is 220023113. The reversal of 220023104 is 401320022.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220023101) 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, 295757 + ... + 296499.

Almost surely, 2220023104 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 220023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250204224).

220023104 is an abundant number, since it is smaller than the sum of its proper divisors (280385344).

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

220023104 is an equidigital number, since it uses as much as digits as its factorization.

220023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 220023104 is about 14833.1757894255. The cubic root of 220023104 is about 603.7022054363.

Adding to 220023104 its reverse (401320022), we get a palindrome (621343126).

The spelling of 220023104 in words is "two hundred twenty million, twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 661 743 1322 1486 2644 2972 4627 5201 5288 5944 9254 10402 10576 11888 18508 20804 21152 23776 37016 41608 42304 47552 74032 83216 148064 166432 296128 332864 491123 982246 1964492 3437861 3928984 6875722 7857968 13751444 15715936 27502888 31431872 55005776 110011552 220023104