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404022000 = 24353172233
BaseRepresentation
bin11000000101001…
…110001011110000
31001011020102222210
4120011032023300
51311412201000
6104031332120
713004062464
oct3005161360
91034212883
10404022000
11198072788
12b3381040
136591c195
143b9304a4
152570a350
hex1814e2f0

404022000 has 240 divisors, whose sum is σ = 1389634272. Its totient is φ = 100966400.

The previous prime is 404021999. The next prime is 404022041. The reversal of 404022000 is 220404.

It is a tau number, because it is divible by the number of its divisors (240).

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1733884 + ... + 1734116.

Almost surely, 2404022000 is an apocalyptic number.

404022000 is a gapful number since it is divisible by the number (40) 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 404022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694817136).

404022000 is an abundant number, since it is smaller than the sum of its proper divisors (985612272).

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

404022000 is a wasteful number, since it uses less digits than its factorization.

404022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 260 counting only the distinct ones).

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

The square root of 404022000 is about 20100.2985052461. The cubic root of 404022000 is about 739.2675977330.

Adding to 404022000 its reverse (220404), we get a palindrome (404242404).

The spelling of 404022000 in words is "four hundred four million, twenty-two thousand".