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2199001032 = 2332471574139
BaseRepresentation
bin1000001100010010…
…0001011111001000
312200020210211022200
42003010201133020
514000421013112
61002112120200
7105331125504
oct20304413710
95606724280
102199001032
11a29308028
12514536060
13290771a57
1416c09b304
15cd0c0cdc
hex831217c8

2199001032 has 96 divisors (see below), whose sum is σ = 6122563200. Its totient is φ = 712662912.

The previous prime is 2199001031. The next prime is 2199001061. The reversal of 2199001032 is 2301009912.

It is a junction number, because it is equal to n+sod(n) for n = 2199000987 and 2199001005.

It is not an unprimeable number, because it can be changed into a prime (2199001031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529219 + ... + 533357.

It is an arithmetic number, because the mean of its divisors is an integer number (63776700).

Almost surely, 22199001032 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 2199001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061281600).

2199001032 is an abundant number, since it is smaller than the sum of its proper divisors (3923562168).

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

2199001032 is a wasteful number, since it uses less digits than its factorization.

2199001032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2199001032 is about 46893.5073544302. The cubic root of 2199001032 is about 1300.3945611031.

The spelling of 2199001032 in words is "two billion, one hundred ninety-nine million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 157 188 282 314 376 423 471 564 628 846 942 1128 1256 1413 1692 1884 2826 3384 3768 4139 5652 7379 8278 11304 12417 14758 16556 22137 24834 29516 33112 37251 44274 49668 59032 66411 74502 88548 99336 132822 149004 177096 194533 265644 298008 389066 531288 583599 649823 778132 1167198 1299646 1556264 1750797 1949469 2334396 2599292 3501594 3898938 4668792 5198584 5848407 7003188 7797876 11696814 14006376 15595752 23393628 30541681 46787256 61083362 91625043 122166724 183250086 244333448 274875129 366500172 549750258 733000344 1099500516 2199001032