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2881227216 = 243723935879
BaseRepresentation
bin1010101110111100…
…0000100111010000
321102210112111201010
42223233000213100
521400043232331
61153522410520
7131254012230
oct25357004720
97383474633
102881227216
11124941771a
12684b00a40
1336bbca09a
141d4929cc0
1511ce31e46
hexabbc09d0

2881227216 has 80 divisors (see below), whose sum is σ = 8542310400. Its totient is φ = 819740544.

The previous prime is 2881227211. The next prime is 2881227247. The reversal of 2881227216 is 6127221882.

It is a super-2 number, since 2×28812272162 = 16602940540438221312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2881227211) 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, 62365 + ... + 98243.

It is an arithmetic number, because the mean of its divisors is an integer number (106778880).

Almost surely, 22881227216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2881227216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271155200).

2881227216 is an abundant number, since it is smaller than the sum of its proper divisors (5661083184).

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

2881227216 is a wasteful number, since it uses less digits than its factorization.

2881227216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36136 (or 36130 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 2881227216 is about 53677.0641522056. The cubic root of 2881227216 is about 1422.9593799678.

The spelling of 2881227216 in words is "two billion, eight hundred eighty-one million, two hundred twenty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 239 336 478 717 956 1434 1673 1912 2868 3346 3824 5019 5736 6692 10038 11472 13384 20076 26768 35879 40152 71758 80304 107637 143516 215274 251153 287032 430548 502306 574064 753459 861096 1004612 1506918 1722192 2009224 3013836 4018448 6027672 8575081 12055344 17150162 25725243 34300324 51450486 60025567 68600648 102900972 120051134 137201296 180076701 205801944 240102268 360153402 411603888 480204536 720306804 960409072 1440613608 2881227216