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2474022144 = 28311279337
BaseRepresentation
bin1001001101110110…
…1001010100000000
320101102022100100210
42103131221110000
520031322202034
61045254514120
7115210561356
oct22335512400
96342270323
102474022144
11105a580500
12590665940
13305735139
1419680b7d6
15e72e88e9
hex93769500

2474022144 has 216 divisors, whose sum is σ = 7350878080. Its totient is φ = 738017280.

The previous prime is 2474022137. The next prime is 2474022179. The reversal of 2474022144 is 4412204742.

It is a super-2 number, since 2×24740221442 = 12241571138004713472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7341144 + ... + 7341480.

Almost surely, 22474022144 is an apocalyptic number.

2474022144 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 2474022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675439040).

2474022144 is an abundant number, since it is smaller than the sum of its proper divisors (4876855936).

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

2474022144 is a wasteful number, since it uses less digits than its factorization.

2474022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 30.

The square root of 2474022144 is about 49739.5430618336. The cubic root of 2474022144 is about 1352.4914474491.

Adding to 2474022144 its reverse (4412204742), we get a palindrome (6886226886).

The spelling of 2474022144 in words is "two billion, four hundred seventy-four million, twenty-two thousand, one hundred forty-four".