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2222982828 = 2232118536581
BaseRepresentation
bin1000010010000000…
…0000011010101100
312201220221020011100
42010200000122230
514023040422303
61004330123100
7106042020333
oct20440003254
95656836140
102222982828
11a408a79a0
12520580490
1329571a671
14171340d1a
15d025b8a3
hex848006ac

2222982828 has 72 divisors (see below), whose sum is σ = 6138162576. Its totient is φ = 672739200.

The previous prime is 2222982809. The next prime is 2222982857. The reversal of 2222982828 is 8282892222.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334498 + ... + 341078.

It is an arithmetic number, because the mean of its divisors is an integer number (85252258).

Almost surely, 22222982828 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 2222982828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069081288).

2222982828 is an abundant number, since it is smaller than the sum of its proper divisors (3915179748).

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

2222982828 is a wasteful number, since it uses less digits than its factorization.

2222982828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7455 (or 7450 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 2222982828 is about 47148.5188314543. The cubic root of 2222982828 is about 1305.1047469540.

The spelling of 2222982828 in words is "two billion, two hundred twenty-two million, nine hundred eighty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 853 1706 2559 3412 5118 6581 7677 9383 10236 13162 15354 18766 19743 26324 28149 30708 37532 39486 56298 59229 72391 78972 84447 112596 118458 144782 168894 217173 236916 289564 337788 434346 651519 868692 1303038 2606076 5613593 11227186 16840779 22454372 33681558 50522337 61749523 67363116 101044674 123499046 185248569 202089348 246998092 370497138 555745707 740994276 1111491414 2222982828