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2220344300440 = 235723334033481
BaseRepresentation
bin100000010011110110110…
…101010101001110011000
321212021002121112002010101
4200103312311111032120
5242334231120103230
64420002340025144
7316262126104240
oct40236665251630
97767077462111
102220344300440
11786708523022
122ba3989921b4
131314ba69a036
147967287cb20
153cb5252caca
hex204f6d55398

2220344300440 has 64 divisors (see below), whose sum is σ = 5733961047360. Its totient is φ = 757993666560.

The previous prime is 2220344300431. The next prime is 2220344300507. The reversal of 2220344300440 is 440034430222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2220344300399 and 2220344300408.

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, 16951501 + ... + 17081980.

It is an arithmetic number, because the mean of its divisors is an integer number (89593141365).

Almost surely, 22220344300440 is an apocalyptic number.

2220344300440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220344300440 is an abundant number, since it is smaller than the sum of its proper divisors (3513616746920).

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

2220344300440 is a wasteful number, since it uses less digits than its factorization.

2220344300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34033732 (or 34033728 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 2220344300440 its reverse (440034430222), we get a palindrome (2660378730662).

The spelling of 2220344300440 in words is "two trillion, two hundred twenty billion, three hundred forty-four million, three hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 233 280 466 932 1165 1631 1864 2330 3262 4660 6524 8155 9320 13048 16310 32620 65240 34033481 68066962 136133924 170167405 238234367 272267848 340334810 476468734 680669620 952937468 1191171835 1361339240 1905874936 2382343670 4764687340 7929801073 9529374680 15859602146 31719204292 39649005365 55508607511 63438408584 79298010730 111017215022 158596021460 222034430044 277543037555 317192042920 444068860088 555086075110 1110172150220 2220344300440