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1223221220 = 225134704697
BaseRepresentation
bin100100011101000…
…1101111111100100
310011020201002001122
41020322031333210
510001121034340
6321213513112
742212131424
oct11072157744
93136632048
101223221220
11578527231
122a17a2798
13166564b50
14b8656484
15725c5db5
hex48e8dfe4

1223221220 has 24 divisors (see below), whose sum is σ = 2766362424. Its totient is φ = 451650816.

The previous prime is 1223221199. The next prime is 1223221229. The reversal of 1223221220 is 221223221.

It can be written as a sum of positive squares in 4 ways, for example, as 49336576 + 1173884644 = 7024^2 + 34262^2 .

It is not an unprimeable number, because it can be changed into a prime (1223221229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2352089 + ... + 2352608.

It is an arithmetic number, because the mean of its divisors is an integer number (115265101).

Almost surely, 21223221220 is an apocalyptic number.

1223221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1223221220 is an abundant number, since it is smaller than the sum of its proper divisors (1543141204).

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

1223221220 is a wasteful number, since it uses less digits than its factorization.

1223221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4704719 (or 4704717 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1223221220 is about 34974.5796257796. The cubic root of 1223221220 is about 1069.4693324563.

Adding to 1223221220 its reverse (221223221), we get a palindrome (1444444441).

The spelling of 1223221220 in words is "one billion, two hundred twenty-three million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 4704697 9409394 18818788 23523485 47046970 61161061 94093940 122322122 244644244 305805305 611610610 1223221220