Search a number
-
+
2255502561312 = 2537111389263723
BaseRepresentation
bin100000110100100110011…
…011011101000000100000
321222121211211222210011110
4200310212123131000200
5243423232123430222
64444055155343320
7321645312304440
oct40644633350040
97877754883143
102255502561312
1179a60a438870
1230516b2b1b40
131349016229b0
147b249dc4120
153da0de2030c
hex20d266dd020

2255502561312 has 384 divisors, whose sum is σ = 8038813870080. Its totient is φ = 534701629440.

The previous prime is 2255502561269. The next prime is 2255502561317. The reversal of 2255502561312 is 2131652055522.

It is a super-2 number, since 2×22555025613122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2255502561317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8420683 + ... + 8684405.

It is an arithmetic number, because the mean of its divisors is an integer number (20934411120).

Almost surely, 22255502561312 is an apocalyptic number.

2255502561312 is a gapful number since it is divisible by the number (22) 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 2255502561312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019406935040).

2255502561312 is an abundant number, since it is smaller than the sum of its proper divisors (5783311308768).

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

2255502561312 is a wasteful number, since it uses less digits than its factorization.

2255502561312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263856 (or 263848 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 2255502561312 in words is "two trillion, two hundred fifty-five billion, five hundred two million, five hundred sixty-one thousand, three hundred twelve".