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2246808144 = 243749113619
BaseRepresentation
bin1000010111101011…
…1001001001010000
312210120202200100110
42011322321021100
514100140330034
61010540521320
7106451361030
oct20572711120
95716680313
102246808144
11a532a0239
12528550240
1329a63cc99
141745838c0
15d23b5de9
hex85eb9250

2246808144 has 80 divisors (see below), whose sum is σ = 6647431680. Its totient is φ = 640590720.

The previous prime is 2246808143. The next prime is 2246808203. The reversal of 2246808144 is 4418086422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246808143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158167 + ... + 171785.

It is an arithmetic number, because the mean of its divisors is an integer number (83092896).

Almost surely, 22246808144 is an apocalyptic number.

2246808144 is a gapful number since it is divisible by the number (24) 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 2246808144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323715840).

2246808144 is an abundant number, since it is smaller than the sum of its proper divisors (4400623536).

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

2246808144 is a wasteful number, since it uses less digits than its factorization.

2246808144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14128 (or 14122 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 2246808144 is about 47400.5078453807. The cubic root of 2246808144 is about 1309.7507720811.

The spelling of 2246808144 in words is "two billion, two hundred forty-six million, eight hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 491 982 1473 1964 2946 3437 3928 5892 6874 7856 10311 11784 13619 13748 20622 23568 27238 27496 40857 41244 54476 54992 81714 82488 95333 108952 163428 164976 190666 217904 285999 326856 381332 571998 653712 762664 1143996 1525328 2287992 4575984 6686929 13373858 20060787 26747716 40121574 46808503 53495432 80243148 93617006 106990864 140425509 160486296 187234012 280851018 320972592 374468024 561702036 748936048 1123404072 2246808144