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2224154152 = 231159443967
BaseRepresentation
bin1000010010010001…
…1110011000101000
312202000010201220201
42010210132120220
514023340413102
61004411201544
7106054666303
oct20444363050
95660121821
102224154152
11a41527a30
12520a462b4
13295a3a85c
14171567b3a
15d03dd987
hex8491e628

2224154152 has 64 divisors (see below), whose sum is σ = 4641753600. Its totient is φ = 990575040.

The previous prime is 2224154147. The next prime is 2224154167. The reversal of 2224154152 is 2514514222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2224154152.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2299573 + ... + 2300539.

It is an arithmetic number, because the mean of its divisors is an integer number (72527400).

Almost surely, 22224154152 is an apocalyptic number.

2224154152 is a gapful number since it is divisible by the number (22) 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 2224154152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320876800).

2224154152 is an abundant number, since it is smaller than the sum of its proper divisors (2417599448).

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

2224154152 is a wasteful number, since it uses less digits than its factorization.

2224154152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1482 counting only the distinct ones).

The product of its digits is 6400, while the sum is 28.

The square root of 2224154152 is about 47160.9388371351. The cubic root of 2224154152 is about 1305.3339333236. Note that the first 3 decimals are identical.

Adding to 2224154152 its reverse (2514514222), we get a palindrome (4738668374).

The spelling of 2224154152 in words is "two billion, two hundred twenty-four million, one hundred fifty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 443 472 649 886 967 1298 1772 1934 2596 3544 3868 4873 5192 7736 9746 10637 19492 21274 26137 38984 42548 52274 57053 85096 104548 114106 209096 228212 287507 428381 456424 575014 627583 856762 1150028 1255166 1713524 2300056 2510332 3427048 4712191 5020664 9424382 18848764 25274479 37697528 50548958 101097916 202195832 278019269 556038538 1112077076 2224154152