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220404000 = 2535318367
BaseRepresentation
bin11010010001100…
…01100100100000
3120100201200110010
431020301210200
5422410412000
633512004520
75314255155
oct1510614440
9510650403
10220404000
11103459873
1261990740
133687c58b
14213b422c
1514539d50
hexd231920

220404000 has 96 divisors (see below), whose sum is σ = 722082816. Its totient is φ = 58771200.

The previous prime is 220403993. The next prime is 220404007. The reversal of 220404000 is 404022.

It is an interprime number because it is at equal distance from previous prime (220403993) and next prime (220404007).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220404007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2817 + ... + 21183.

It is an arithmetic number, because the mean of its divisors is an integer number (7521696).

Almost surely, 2220404000 is an apocalyptic number.

220404000 is a gapful number since it is divisible by the number (20) 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 220404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361041408).

220404000 is an abundant number, since it is smaller than the sum of its proper divisors (501678816).

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

220404000 is a wasteful number, since it uses less digits than its factorization.

220404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18395 (or 18377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 220404000 is about 14846.0095648629. The cubic root of 220404000 is about 604.0503737061.

Adding to 220404000 its reverse (404022), we get a palindrome (220808022).

The spelling of 220404000 in words is "two hundred twenty million, four hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 18367 36734 55101 73468 91835 110202 146936 183670 220404 275505 293872 367340 440808 459175 551010 587744 734680 881616 918350 1102020 1377525 1469360 1763232 1836700 2204040 2295875 2755050 2938720 3673400 4408080 4591750 5510100 6887625 7346800 8816160 9183500 11020200 13775250 14693600 18367000 22040400 27550500 36734000 44080800 55101000 73468000 110202000 220404000