Search a number
-
+
2922147850340 = 22517671313173089
BaseRepresentation
bin101010100001011101100…
…101011010100001100100
3101100100120111201022012202
4222201131211122201210
5340334024322202330
610114225521434032
7421055355621605
oct52413545324144
911310514638182
102922147850340
11a27304310424
123b23b949b918
1318273269aa64
14a160b501dac
1551029ae0445
hex2a85d95a864

2922147850340 has 192 divisors, whose sum is σ = 6667917822720. Its totient is φ = 1071671377920.

The previous prime is 2922147850327. The next prime is 2922147850411. The reversal of 2922147850340 is 430587412292.

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 63 ways as a sum of consecutive naturals, for example, 945983516 + ... + 945986604.

It is an arithmetic number, because the mean of its divisors is an integer number (34728738660).

Almost surely, 22922147850340 is an apocalyptic number.

2922147850340 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 2922147850340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333958911360).

2922147850340 is an abundant number, since it is smaller than the sum of its proper divisors (3745769972380).

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

2922147850340 is a wasteful number, since it uses less digits than its factorization.

2922147850340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 2922147850340 in words is "two trillion, nine hundred twenty-two billion, one hundred forty-seven million, eight hundred fifty thousand, three hundred forty".