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1223642442 = 2311131307461
BaseRepresentation
bin100100011101111…
…0100110101001010
310011021111110212110
41020323310311022
510001223024232
6321230523150
742215534451
oct11073646512
93137443773
101223642442
11578794750
122a19664b6
131666817a9
14b8725b98
157265aacc
hex48ef4d4a

1223642442 has 64 divisors (see below), whose sum is σ = 2704762368. Its totient is φ = 365976000.

The previous prime is 1223642423. The next prime is 1223642449. The reversal of 1223642442 is 2442463221.

1223642442 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1223642449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2654092 + ... + 2654552.

It is an arithmetic number, because the mean of its divisors is an integer number (42261912).

Almost surely, 21223642442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223642442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352381184).

1223642442 is an abundant number, since it is smaller than the sum of its proper divisors (1481119926).

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

1223642442 is a wasteful number, since it uses less digits than its factorization.

1223642442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915.

The product of its digits is 18432, while the sum is 30.

The square root of 1223642442 is about 34980.6009382343. The cubic root of 1223642442 is about 1069.5920773054.

The spelling of 1223642442 in words is "one billion, two hundred twenty-three million, six hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 131 262 307 393 461 614 786 921 922 1383 1441 1842 2766 2882 3377 4323 5071 6754 8646 10131 10142 15213 20262 30426 40217 60391 80434 120651 120782 141527 181173 241302 283054 362346 424581 442387 664301 849162 884774 1327161 1328602 1556797 1992903 2654322 3113594 3985806 4670391 9340782 18540037 37080074 55620111 111240222 203940407 407880814 611821221 1223642442