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3310112220 = 2235675031637
BaseRepresentation
bin1100010101001100…
…0100110111011100
322112200120010022220
43011103010313130
523234342042340
61304243105340
7145012326642
oct30523046734
98480503286
103310112220
111449521338
12784672250
13409a12cac
1423588d192
151458eded0
hexc54c4ddc

3310112220 has 96 divisors (see below), whose sum is σ = 9431106048. Its totient is φ = 867263232.

The previous prime is 3310112173. The next prime is 3310112243. The reversal of 3310112220 is 222110133.

3310112220 is digitally balanced in base 2, because in such base 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3310112220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2021242 + ... + 2022878.

It is an arithmetic number, because the mean of its divisors is an integer number (98240688).

Almost surely, 23310112220 is an apocalyptic number.

3310112220 is a gapful number since it is divisible by the number (30) 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 3310112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715553024).

3310112220 is an abundant number, since it is smaller than the sum of its proper divisors (6120993828).

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

3310112220 is a wasteful number, since it uses less digits than its factorization.

3310112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3310112220 is about 57533.5747194627. The cubic root of 3310112220 is about 1490.3247224041.

Adding to 3310112220 its reverse (222110133), we get a palindrome (3532222353).

The spelling of 3310112220 in words is "three billion, three hundred ten million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 503 670 804 1005 1006 1340 1509 1637 2010 2012 2515 3018 3274 4020 4911 5030 6036 6548 7545 8185 9822 10060 15090 16370 19644 24555 30180 32740 33701 49110 67402 98220 101103 109679 134804 168505 202206 219358 329037 337010 404412 438716 505515 548395 658074 674020 823411 1011030 1096790 1316148 1645185 1646822 2022060 2193580 2470233 3290370 3293644 4117055 4940466 6580740 8234110 9880932 12351165 16468220 24702330 49404660 55168537 110337074 165505611 220674148 275842685 331011222 551685370 662022444 827528055 1103370740 1655056110 3310112220