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223013002134 = 231310338971359
BaseRepresentation
bin1100111110110010011…
…1000101101110010110
3210022122011022022122210
43033230213011232112
512123212312032014
6250241210334250
722053320145456
oct3175447055626
9708564268583
10223013002134
118664103132a
123727a72a386
1318050cb14c0
14ab185d5d66
155c039a1859
hex33ec9c5b96

223013002134 has 64 divisors (see below), whose sum is σ = 486252748800. Its totient is φ = 67777540992.

The previous prime is 223013002133. The next prime is 223013002159. The reversal of 223013002134 is 431200310322.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 223013002134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223013002133) 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, 3089547 + ... + 3160905.

It is an arithmetic number, because the mean of its divisors is an integer number (7597699200).

Almost surely, 2223013002134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223013002134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243126374400).

223013002134 is an abundant number, since it is smaller than the sum of its proper divisors (263239746666).

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

223013002134 is a wasteful number, since it uses less digits than its factorization.

223013002134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71869.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 223013002134 its reverse (431200310322), we get a palindrome (654213312456).

The spelling of 223013002134 in words is "two hundred twenty-three billion, thirteen million, two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 103 206 309 389 618 778 1167 1339 2334 2678 4017 5057 8034 10114 15171 30342 40067 71359 80134 120201 142718 214077 240402 428154 520871 927667 1041742 1562613 1855334 2783001 3125226 5566002 7349977 14699954 22049931 27758651 44099862 55517302 83275953 95549701 166551906 191099402 286649103 360862463 573298206 721724926 1082587389 2165174778 2859141053 5718282106 8577423159 17154846318 37168833689 74337667378 111506501067 223013002134