Search a number
-
+
23001402264 = 23323199209393
BaseRepresentation
bin10101011010111111…
…011000101110011000
32012101000012022010120
4111122333120232120
5334101324333024
614322223513240
71442665456551
oct253277305630
965330168116
1023001402264
119833767a65
12455b158820
1322274604c9
141182b75328
158e94da479
hex55afd8b98

23001402264 has 64 divisors (see below), whose sum is σ = 60305472000. Its totient is φ = 7296892416.

The previous prime is 23001402257. The next prime is 23001402269. The reversal of 23001402264 is 46220410032.

It is a super-2 number, since 2×230014022642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23001402269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5152 + ... + 214544.

It is an arithmetic number, because the mean of its divisors is an integer number (942273000).

Almost surely, 223001402264 is an apocalyptic number.

23001402264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23001402264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30152736000).

23001402264 is an abundant number, since it is smaller than the sum of its proper divisors (37304069736).

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

23001402264 is a wasteful number, since it uses less digits than its factorization.

23001402264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209624 (or 209620 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23001402264 its reverse (46220410032), we get a palindrome (69221812296).

The spelling of 23001402264 in words is "twenty-three billion, one million, four hundred two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 199 276 398 552 597 796 1194 1592 2388 4577 4776 9154 13731 18308 27462 36616 54924 109848 209393 418786 628179 837572 1256358 1675144 2512716 4816039 5025432 9632078 14448117 19264156 28896234 38528312 41669207 57792468 83338414 115584936 125007621 166676828 250015242 333353656 500030484 958391761 1000060968 1916783522 2875175283 3833567044 5750350566 7667134088 11500701132 23001402264