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404422224 = 24343533697
BaseRepresentation
bin11000000110101…
…111111001010000
31001011222202222220
4120012233321100
51312013002344
6104044101040
713010350353
oct3006577120
91034882886
10404422224
11198316448
12b3534780
1365a2c3bb
143b9d629a
1525788c19
hex181afe50

404422224 has 80 divisors (see below), whose sum is σ = 1089519552. Its totient is φ = 129153024.

The previous prime is 404422217. The next prime is 404422259. The reversal of 404422224 is 422224404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 404422194 and 404422203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107544 + ... + 111240.

Almost surely, 2404422224 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 404422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544759776).

404422224 is an abundant number, since it is smaller than the sum of its proper divisors (685097328).

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

404422224 is a wasteful number, since it uses less digits than its factorization.

404422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 404422224 is about 20110.2517139891. The cubic root of 404422224 is about 739.5116232165.

Adding to 404422224 its reverse (422224404), we get a palindrome (826646628).

The spelling of 404422224 in words is "four hundred four million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 53 86 106 129 159 172 212 258 318 344 424 516 636 688 848 1032 1272 2064 2279 2544 3697 4558 6837 7394 9116 11091 13674 14788 18232 22182 27348 29576 36464 44364 54696 59152 88728 109392 158971 177456 195941 317942 391882 476913 587823 635884 783764 953826 1175646 1271768 1567528 1907652 2351292 2543536 3135056 3815304 4702584 7630608 8425463 9405168 16850926 25276389 33701852 50552778 67403704 101105556 134807408 202211112 404422224