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2199013128 = 23321321271423
BaseRepresentation
bin1000001100010010…
…0100011100001000
312200020211102220200
42003010210130020
514000421410003
61002112252200
7105331205664
oct20304443410
95606742820
102199013128
11a29316124
12514541060
13290777400
1416c0a18a4
15cd0c46a3
hex83124708

2199013128 has 144 divisors (see below), whose sum is σ = 6504376320. Its totient is φ = 670819968.

The previous prime is 2199013099. The next prime is 2199013133. The reversal of 2199013128 is 8213109912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2199013092 and 2199013101.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1544625 + ... + 1546047.

It is an arithmetic number, because the mean of its divisors is an integer number (45169280).

Almost surely, 22199013128 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 2199013128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252188160).

2199013128 is an abundant number, since it is smaller than the sum of its proper divisors (4305363192).

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

2199013128 is a wasteful number, since it uses less digits than its factorization.

2199013128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 2199013128 is about 46893.6363273312. The cubic root of 2199013128 is about 1300.3969454500.

The spelling of 2199013128 in words is "two billion, one hundred ninety-nine million, thirteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 127 156 169 234 254 312 338 381 468 507 508 676 762 936 1014 1016 1143 1352 1423 1521 1524 1651 2028 2286 2846 3042 3048 3302 4056 4269 4572 4953 5692 6084 6604 8538 9144 9906 11384 12168 12807 13208 14859 17076 18499 19812 21463 25614 29718 34152 36998 39624 42926 51228 55497 59436 64389 73996 85852 102456 110994 118872 128778 147992 166491 171704 180721 193167 221988 240487 257556 332982 361442 386334 443976 480974 515112 542163 665964 721461 722884 772668 961948 1084326 1331928 1442922 1445768 1545336 1626489 1923896 2164383 2168652 2349373 2885844 3252978 4328766 4337304 4698746 5771688 6505956 7048119 8657532 9397492 13011912 14096238 17315064 18794984 21144357 28192476 30541849 42288714 56384952 61083698 84577428 91625547 122167396 169154856 183251094 244334792 274876641 366502188 549753282 733004376 1099506564 2199013128