Search a number
-
+
2302549893120 = 21335171958013
BaseRepresentation
bin100001100000011010101…
…010110010000000000000
322011010021122211212111010
4201200122222302000000
5300211110233034440
64521435443120520
7325232222110221
oct41403252620000
98133248755433
102302549893120
11808562429574
123122bb373140
1313918b740c79
147d63050d248
153ed64470580
hex2181aab2000

2302549893120 has 448 divisors, whose sum is σ = 8211830647680. Its totient is φ = 547469918208.

The previous prime is 2302549893097. The next prime is 2302549893121. The reversal of 2302549893120 is 213989452032.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2302549893120.

It is not an unprimeable number, because it can be changed into a prime (2302549893121) 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, 39661234 + ... + 39719246.

Almost surely, 22302549893120 is an apocalyptic number.

2302549893120 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 2302549893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105915323840).

2302549893120 is an abundant number, since it is smaller than the sum of its proper divisors (5909280754560).

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

2302549893120 is a wasteful number, since it uses less digits than its factorization.

2302549893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58083 (or 58059 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 2302549893120 in words is "two trillion, three hundred two billion, five hundred forty-nine million, eight hundred ninety-three thousand, one hundred twenty".