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221123340 = 2232510112163
BaseRepresentation
bin11010010111000…
…01001100001100
3120102002020012100
431023201030030
5423101421330
633535235100
75323342314
oct1513411414
9512066170
10221123340
11103900269
1262078a90
1336a71b19
1421520444
151462d060
hexd2e130c

221123340 has 72 divisors (see below), whose sum is σ = 677437488. Its totient is φ = 58377600.

The previous prime is 221123339. The next prime is 221123363. The reversal of 221123340 is 43321122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12099 + ... + 24261.

It is an arithmetic number, because the mean of its divisors is an integer number (9408854).

Almost surely, 2221123340 is an apocalyptic number.

221123340 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 221123340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338718744).

221123340 is an abundant number, since it is smaller than the sum of its proper divisors (456314148).

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

221123340 is a wasteful number, since it uses less digits than its factorization.

221123340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12279 (or 12274 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 221123340 is about 14870.2165417992. The cubic root of 221123340 is about 604.7068132966.

Adding to 221123340 its reverse (43321122), we get a palindrome (264444462).

It can be divided in two parts, 22112 and 3340, that added together give a palindrome (25452).

The spelling of 221123340 in words is "two hundred twenty-one million, one hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 12163 18180 24326 36489 48652 60815 72978 109467 121630 145956 182445 218934 243260 364890 437868 547335 729780 1094670 1228463 2189340 2456926 3685389 4913852 6142315 7370778 11056167 12284630 14741556 18426945 22112334 24569260 36853890 44224668 55280835 73707780 110561670 221123340