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221223330 = 232510124337
BaseRepresentation
bin11010010111110…
…01100110100010
3120102021022100200
431023321212202
5423113121310
633541330030
75324236656
oct1513714642
9512238320
10221223330
111039693a9
1262106916
1336aa84a3
1421548a66
151464c9c0
hexd2f99a2

221223330 has 48 divisors (see below), whose sum is σ = 580899384. Its totient is φ = 58406400.

The previous prime is 221223323. The next prime is 221223337. The reversal of 221223330 is 33322122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221223323) and next prime (221223337).

It can be written as a sum of positive squares in 4 ways, for example, as 211091841 + 10131489 = 14529^2 + 3183^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221223337) 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, 3079 + ... + 21258.

Almost surely, 2221223330 is an apocalyptic number.

221223330 is an abundant number, since it is smaller than the sum of its proper divisors (359676054).

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

221223330 is a wasteful number, since it uses less digits than its factorization.

221223330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24451 (or 24448 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 221223330 is about 14873.5782513826. The cubic root of 221223330 is about 604.7979472352.

Adding to 221223330 its reverse (33322122), we get a palindrome (254545452).

It can be divided in two parts, 22122 and 3330, that added together give a palindrome (25452).

The spelling of 221223330 in words is "two hundred twenty-one million, two hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 24337 48674 73011 121685 146022 219033 243370 365055 438066 730110 1095165 2190330 2458037 4916074 7374111 12290185 14748222 22122333 24580370 36870555 44244666 73741110 110611665 221223330