Search a number
-
+
23020444100 = 2252230204441
BaseRepresentation
bin10101011100001000…
…000001100111000100
32012102100000201121202
4111130020001213010
5334121213202400
614324144002032
71443316355243
oct253410014704
965370021552
1023020444100
119843493415
124565600318
13222b399774
1411854d095a
158eaeec4d5
hex55c2019c4

23020444100 has 18 divisors (see below), whose sum is σ = 49954363914. Its totient is φ = 9208177600.

The previous prime is 23020444087. The next prime is 23020444169. The reversal of 23020444100 is 144402032.

It can be written as a sum of positive squares in 3 ways, for example, as 299705344 + 22720738756 = 17312^2 + 150734^2 .

It is a super-2 number, since 2×230204441002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115102121 + ... + 115102320.

Almost surely, 223020444100 is an apocalyptic number.

23020444100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23020444100 is an abundant number, since it is smaller than the sum of its proper divisors (26933919814).

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

23020444100 is a wasteful number, since it uses less digits than its factorization.

23020444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230204455 (or 230204448 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 23020444100 its reverse (144402032), we get a palindrome (23164846132).

The spelling of 23020444100 in words is "twenty-three billion, twenty million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 230204441 460408882 920817764 1151022205 2302044410 4604088820 5755111025 11510222050 23020444100