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404402220200 = 235211211871181
BaseRepresentation
bin1011110001010000100…
…00000010110010101000
31102122211111010022211102
411320220100002302220
523111203432021300
6505440235020532
741134315104146
oct5705020026250
91378744108742
10404402220200
11146562568610
126646159a748
132c19a69aa74
1415804ad8596
15a7bd1200d5
hex5e28402ca8

404402220200 has 96 divisors (see below), whose sum is σ = 1030573458720. Its totient is φ = 146358240000.

The previous prime is 404402220137. The next prime is 404402220203. The reversal of 404402220200 is 2022204404.

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

It is not an unprimeable number, because it can be changed into a prime (404402220203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28610 + ... + 899790.

It is an arithmetic number, because the mean of its divisors is an integer number (10735140195).

Almost surely, 2404402220200 is an apocalyptic number.

404402220200 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 404402220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515286729360).

404402220200 is an abundant number, since it is smaller than the sum of its proper divisors (626171238520).

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

404402220200 is a wasteful number, since it uses less digits than its factorization.

404402220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871419 (or 871410 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 404402220200 its reverse (2022204404), we get a palindrome (406424424604).

The spelling of 404402220200 in words is "four hundred four billion, four hundred two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 211 220 275 422 440 550 844 1055 1100 1688 2110 2200 2321 4220 4642 5275 8440 9284 10550 11605 18568 21100 23210 42200 46420 58025 92840 116050 232100 464200 871181 1742362 3484724 4355905 6969448 8711810 9582991 17423620 19165982 21779525 34847240 38331964 43559050 47914955 76663928 87118100 95829910 174236200 183819191 191659820 239574775 367638382 383319640 479149550 735276764 919095955 958299100 1470553528 1838191910 1916598200 2022011101 3676383820 4044022202 4595479775 7352767640 8088044404 9190959550 10110055505 16176088808 18381919100 20220111010 36763838200 40440222020 50550277525 80880444040 101100555050 202201110100 404402220200