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404555220 = 2232519294079
BaseRepresentation
bin11000000111010…
…000010111010100
31001012020112102200
4120013100113110
51312031231340
6104051004500
713011443166
oct3007202724
91035215380
10404555220
111983a7363
12b3599730
1365a77ab4
143ba2c936
15257b3330
hex181d05d4

404555220 has 144 divisors (see below), whose sum is σ = 1336608000. Its totient is φ = 98654976.

The previous prime is 404555219. The next prime is 404555251. The reversal of 404555220 is 22555404.

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, 97141 + ... + 101219.

It is an arithmetic number, because the mean of its divisors is an integer number (9282000).

Almost surely, 2404555220 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 404555220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668304000).

404555220 is an abundant number, since it is smaller than the sum of its proper divisors (932052780).

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

404555220 is a wasteful number, since it uses less digits than its factorization.

404555220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 404555220 is about 20113.5581138694. The cubic root of 404555220 is about 739.5926781988.

The spelling of 404555220 in words is "four hundred four million, five hundred fifty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 29 30 36 38 45 57 58 60 76 87 90 95 114 116 145 171 174 180 190 228 261 285 290 342 348 380 435 522 551 570 580 684 855 870 1044 1102 1140 1305 1653 1710 1740 2204 2610 2755 3306 3420 4079 4959 5220 5510 6612 8158 8265 9918 11020 12237 16316 16530 19836 20395 24474 24795 33060 36711 40790 48948 49590 61185 73422 77501 81580 99180 118291 122370 146844 155002 183555 232503 236582 244740 310004 354873 367110 387505 465006 473164 591455 697509 709746 734220 775010 930012 1064619 1162515 1182910 1395018 1419492 1550020 1774365 2129238 2247529 2325030 2365820 2790036 3487545 3548730 4258476 4495058 4650060 5323095 6742587 6975090 7097460 8990116 10646190 11237645 13485174 13950180 20227761 21292380 22475290 26970348 33712935 40455522 44950580 67425870 80911044 101138805 134851740 202277610 404555220