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2242934848 = 267111741653
BaseRepresentation
bin1000010110110000…
…0111100001000000
312210022110220012001
42011230013201000
514043142403343
61010321513344
7106403426440
oct20554074100
95708426161
102242934848
11a51095170
125271a2854
132998b4cab
14173c56120
15d1d9d44d
hex85b07840

2242934848 has 224 divisors, whose sum is σ = 6028017408. Its totient is φ = 801177600.

The previous prime is 2242934839. The next prime is 2242934879. The reversal of 2242934848 is 8484392422.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 2242934798 and 2242934807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3434490 + ... + 3435142.

It is an arithmetic number, because the mean of its divisors is an integer number (26910792).

Almost surely, 22242934848 is an apocalyptic number.

2242934848 is a gapful number since it is divisible by the number (28) 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 2242934848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014008704).

2242934848 is an abundant number, since it is smaller than the sum of its proper divisors (3785082560).

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

2242934848 is a wasteful number, since it uses less digits than its factorization.

2242934848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 731 counting only the distinct ones).

The product of its digits is 884736, while the sum is 46.

The square root of 2242934848 is about 47359.6331066870. The cubic root of 2242934848 is about 1308.9977081702.

The spelling of 2242934848 in words is "two billion, two hundred forty-two million, nine hundred thirty-four thousand, eight hundred forty-eight".