Search a number
-
+
23002155304320 = 2735683162710781
BaseRepresentation
bin1010011101011100110110…
…10010111100010110000000
310000102222120202022120210210
411032232123102330112000
511003331403224214240
6120531013321154120
74562564565042033
oct516563322742600
9100388522276723
1023002155304320
117369183005855
1226b5b7b32b940
13cab12b4c632a
1459744b4b901a
1529d513918780
hex14eb9b4bc580

23002155304320 has 256 divisors, whose sum is σ = 73478664103680. Its totient is φ = 6120594923520.

The previous prime is 23002155304279. The next prime is 23002155304333. The reversal of 23002155304320 is 2340355120032.

23002155304320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2133577330 + ... + 2133588110.

It is an arithmetic number, because the mean of its divisors is an integer number (287026031655).

Almost surely, 223002155304320 is an apocalyptic number.

23002155304320 is a gapful number since it is divisible by the number (20) 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 23002155304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36739332051840).

23002155304320 is an abundant number, since it is smaller than the sum of its proper divisors (50476508799360).

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

23002155304320 is a wasteful number, since it uses less digits than its factorization.

23002155304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13113 (or 13101 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 23002155304320 in words is "twenty-three trillion, two billion, one hundred fifty-five million, three hundred four thousand, three hundred twenty".