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226420724334 = 23773255128949
BaseRepresentation
bin1101001011011110111…
…0100001001001101110
3210122102122112112201010
43102313232201021232
512202202201134314
6252003301530050
722233626254560
oct3226756411156
9718378475633
10226420724334
118802a661472
1237a6ba13926
1318474cac17c
14ad5d013330
155d52c32059
hex34b7ba126e

226420724334 has 64 divisors (see below), whose sum is σ = 524846361600. Its totient is φ = 63778233600.

The previous prime is 226420724317. The next prime is 226420724339. The reversal of 226420724334 is 433427024622.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 226420724292 and 226420724301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226420724339) 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, 7806892 + ... + 7835840.

It is an arithmetic number, because the mean of its divisors is an integer number (8200724400).

Almost surely, 2226420724334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226420724334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262423180800).

226420724334 is an abundant number, since it is smaller than the sum of its proper divisors (298425637266).

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

226420724334 is a wasteful number, since it uses less digits than its factorization.

226420724334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31585.

The product of its (nonzero) digits is 387072, while the sum is 39.

Adding to 226420724334 its reverse (433427024622), we get a palindrome (659847748956).

The spelling of 226420724334 in words is "two hundred twenty-six billion, four hundred twenty million, seven hundred twenty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1533 2551 3066 5102 7653 15306 17857 28949 35714 53571 57898 86847 107142 173694 186223 202643 372446 405286 558669 607929 1117338 1215858 1303561 2113277 2607122 3910683 4226554 6339831 7821366 12679662 14792939 29585878 44378817 73848899 88757634 147697798 221546697 443093394 516942293 1033884586 1550826879 3101653758 5390969627 10781939254 16172908881 32345817762 37736787389 75473574778 113210362167 226420724334