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2002233324 = 2237134094483
BaseRepresentation
bin111011101010111…
…1010011111101100
312011112112222202210
41313111322133230
513100032431244
6530402450420
7100421462640
oct16725723754
95145488683
102002233324
11938232593
1247a663a10
1325ba79a60
1414dcbac20
15baba44b9
hex7757a7ec

2002233324 has 96 divisors (see below), whose sum is σ = 5765347840. Its totient is φ = 526652928.

The previous prime is 2002233313. The next prime is 2002233349. The reversal of 2002233324 is 4233322002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2002233324.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444387 + ... + 448869.

Almost surely, 22002233324 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 2002233324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882673920).

2002233324 is an abundant number, since it is smaller than the sum of its proper divisors (3763114516).

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

2002233324 is a wasteful number, since it uses less digits than its factorization.

2002233324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4919 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2002233324 is about 44746.3219047108. The cubic root of 2002233324 is about 1260.3898440964.

Adding to 2002233324 its reverse (4233322002), we get a palindrome (6235555326).

The spelling of 2002233324 in words is "two billion, two million, two hundred thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 409 546 818 1092 1227 1636 2454 2863 4483 4908 5317 5726 8589 8966 10634 11452 13449 15951 17178 17932 21268 26898 31381 31902 34356 37219 53796 58279 62762 63804 74438 94143 111657 116558 125524 148876 174837 188286 223314 233116 349674 376572 407953 446628 699348 815906 1223859 1631812 1833547 2447718 3667094 4895436 5500641 7334188 11001282 12834829 22002564 23836111 25669658 38504487 47672222 51339316 71508333 77008974 95344444 143016666 154017948 166852777 286033332 333705554 500558331 667411108 1001116662 2002233324