Search a number
-
+
2285343057600 = 263252367432437
BaseRepresentation
bin100001010000011001000…
…011111010011011000000
322002110212111011001120200
4201100121003322123000
5244420340310320400
64505512213005200
7324052634322051
oct41203103723300
98073774131520
102285343057600
11801232639349
1230aab8923800
1313767893c1a5
147c87b18c728
153e6a8a3db00
hex214190fa6c0

2285343057600 has 252 divisors, whose sum is σ = 8144800214304. Its totient is φ = 607762851840.

The previous prime is 2285343057589. The next prime is 2285343057661. The reversal of 2285343057600 is 67503435822.

2285343057600 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 3 + 4 + 30 + 5 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5068582 + ... + 5501018.

Almost surely, 22285343057600 is an apocalyptic number.

2285343057600 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 2285343057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072400107152).

2285343057600 is an abundant number, since it is smaller than the sum of its proper divisors (5859457156704).

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

2285343057600 is a wasteful number, since it uses less digits than its factorization.

2285343057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432832 (or 432814 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 2285343057600 in words is "two trillion, two hundred eighty-five billion, three hundred forty-three million, fifty-seven thousand, six hundred".