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2264401116220 = 225172467838897
BaseRepresentation
bin100000111100111000110…
…100101111110000111100
322000110211000012012200011
4200330320310233300330
5244044443141204340
64452130154313004
7322411653624265
oct40747064576074
98013730165604
102264401116220
117a3366440881
12306a33428764
131356bc0747b9
147b851b4d96c
153dd8025e0ea
hex20f38d2fc3c

2264401116220 has 72 divisors (see below), whose sum is σ = 5062239380016. Its totient is φ = 850653966336.

The previous prime is 2264401116209. The next prime is 2264401116221. The reversal of 2264401116220 is 226111044622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264401116221) 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, 2279812 + ... + 3118708.

It is an arithmetic number, because the mean of its divisors is an integer number (70308880278).

Almost surely, 22264401116220 is an apocalyptic number.

2264401116220 is a gapful number since it is divisible by the number (20) 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 2264401116220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531119690008).

2264401116220 is an abundant number, since it is smaller than the sum of its proper divisors (2797838263796).

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

2264401116220 is a wasteful number, since it uses less digits than its factorization.

2264401116220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839407 (or 839388 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 2264401116220 in words is "two trillion, two hundred sixty-four billion, four hundred one million, one hundred sixteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 467 578 934 1156 1445 1868 2335 2890 4670 5780 7939 9340 15878 31756 39695 79390 134963 158780 269926 539852 674815 838897 1349630 1677794 2699260 3355588 4194485 8388970 14261249 16777940 28522498 57044996 71306245 142612490 242441233 285224980 391764899 484882466 783529798 969764932 1212206165 1567059596 1958824495 2424412330 3917648990 4848824660 6660003283 7835297980 13320006566 26640013132 33300016415 66600032830 113220055811 133200065660 226440111622 452880223244 566100279055 1132200558110 2264401116220