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104009220 = 223257233797
BaseRepresentation
bin1100011001100…
…00111000000100
321020201012211100
412030300320010
5203111243340
614153140100
72402030610
oct614607004
9236635740
10104009220
115378a737
122a9ba630
1318718623
14db56340
1591e7830
hex6330e04

104009220 has 288 divisors, whose sum is σ = 390394368. Its totient is φ = 21897216.

The previous prime is 104009219. The next prime is 104009231. The reversal of 104009220 is 22900401.

104009220 = T99 + T100 + ... + T854.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104009193 and 104009202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1072212 + ... + 1072308.

It is an arithmetic number, because the mean of its divisors is an integer number (1355536).

Almost surely, 2104009220 is an apocalyptic number.

104009220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104009220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195197184).

104009220 is an abundant number, since it is smaller than the sum of its proper divisors (286385148).

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

104009220 is a wasteful number, since it uses less digits than its factorization.

104009220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 104009220 is about 10198.4910648586. The cubic root of 104009220 is about 470.2808341244.

Adding to 104009220 its reverse (22900401), we get a palindrome (126909621).

The spelling of 104009220 in words is "one hundred four million, nine thousand, two hundred twenty".