Search a number
-
+
2286447946020 = 2234572192731093
BaseRepresentation
bin100001010001011010111…
…010101110100100100100
322002120201111012012120000
4201101122322232210210
5244430121133233040
64510214002341300
7324122211605100
oct41213272564444
98076644165500
102286447946020
1180174a292377
1230b16695a830
131377c3811c14
147c943c00900
153e720a3d130
hex2145aeae924

2286447946020 has 1080 divisors, whose sum is σ = 8934773219064. Its totient is φ = 487881418752.

The previous prime is 2286447945979. The next prime is 2286447946037. The reversal of 2286447946020 is 206497446822.

It is a happy number.

2286447946020 is a `hidden beast` number, since 2 + 28 + 6 + 4 + 4 + 7 + 9 + 4 + 602 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 921588480036 + 1364859465984 = 959994^2 + 1168272^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2091900594 + ... + 2091901686.

Almost surely, 22286447946020 is an apocalyptic number.

2286447946020 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 2286447946020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467386609532).

2286447946020 is an abundant number, since it is smaller than the sum of its proper divisors (6648325273044).

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

2286447946020 is a wasteful number, since it uses less digits than its factorization.

2286447946020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 2286447946020 in words is "two trillion, two hundred eighty-six billion, four hundred forty-seven million, nine hundred forty-six thousand, twenty".