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2205100404 = 22321319534679
BaseRepresentation
bin1000001101101111…
…0010100101110100
312200200021201002100
42003123302211310
514004001203104
61002450542100
7105434021103
oct20333624564
95620251070
102205100404
11a317a3631
12516597930
13291ac9050
1416cc0803a
15cd8c8139
hex836f2974

2205100404 has 144 divisors (see below), whose sum is σ = 6439305600. Its totient is φ = 630519552.

The previous prime is 2205100399. The next prime is 2205100421. The reversal of 2205100404 is 4040015022.

2205100404 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 468937 + ... + 473615.

It is an arithmetic number, because the mean of its divisors is an integer number (44717400).

Almost surely, 22205100404 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 2205100404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219652800).

2205100404 is an abundant number, since it is smaller than the sum of its proper divisors (4234205196).

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

2205100404 is a wasteful number, since it uses less digits than its factorization.

2205100404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4774 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2205100404 is about 46958.4966113695. The cubic root of 2205100404 is about 1301.5957532280.

Adding to 2205100404 its reverse (4040015022), we get a palindrome (6245115426).

The spelling of 2205100404 in words is "two billion, two hundred five million, one hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 53 57 76 78 106 114 117 156 159 171 212 228 234 247 318 342 468 477 494 636 684 689 741 954 988 1007 1378 1482 1908 2014 2067 2223 2756 2964 3021 4028 4134 4446 4679 6042 6201 8268 8892 9063 9358 12084 12402 13091 14037 18126 18716 24804 26182 28074 36252 39273 42111 52364 56148 60827 78546 84222 88901 117819 121654 157092 168444 177802 182481 235638 243308 247987 266703 355604 364962 471276 495974 533406 547443 729924 743961 800109 991948 1066812 1094886 1155713 1487922 1600218 2189772 2231883 2311426 2975844 3200436 3223831 3467139 4463766 4622852 4711753 6447662 6934278 8927532 9423506 9671493 10401417 12895324 13868556 14135259 18847012 19342986 20802834 28270518 29014479 38685972 41605668 42405777 56541036 58028958 61252789 84811554 116057916 122505578 169623108 183758367 245011156 367516734 551275101 735033468 1102550202 2205100404