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2954214820 = 2254128112821
BaseRepresentation
bin1011000000010101…
…1011110110100100
321121212212122212201
42300011123312210
522022234333240
61205051024244
7133131261124
oct26005336644
97555778781
102954214820
111286639357
126a543b084
1338107370b
142004c8c84
1512454cd9a
hexb015bda4

2954214820 has 48 divisors (see below), whose sum is σ = 6378278256. Its totient is φ = 1148672000.

The previous prime is 2954214817. The next prime is 2954214821. The reversal of 2954214820 is 284124592.

It can be written as a sum of positive squares in 8 ways, for example, as 772951204 + 2181263616 = 27802^2 + 46704^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2954214820.

It is not an unprimeable number, because it can be changed into a prime (2954214821) 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, 224010 + ... + 236830.

It is an arithmetic number, because the mean of its divisors is an integer number (132880797).

Almost surely, 22954214820 is an apocalyptic number.

2954214820 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 2954214820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189139128).

2954214820 is an abundant number, since it is smaller than the sum of its proper divisors (3424063436).

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

2954214820 is a wasteful number, since it uses less digits than its factorization.

2954214820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13152 (or 13150 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 2954214820 is about 54352.6891699022. The cubic root of 2954214820 is about 1434.8748522020.

The spelling of 2954214820 in words is "two billion, nine hundred fifty-four million, two hundred fourteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 281 410 562 820 1124 1405 2810 5620 11521 12821 23042 25642 46084 51284 57605 64105 115210 128210 230420 256420 525661 1051322 2102644 2628305 3602701 5256610 7205402 10513220 14410804 18013505 36027010 72054020 147710741 295421482 590842964 738553705 1477107410 2954214820