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2199939924 = 2237132314999
BaseRepresentation
bin1000001100100000…
…0110101101010100
312200022120112020110
42003020012231110
514001141034144
61002144203020
7105342116010
oct20310065524
95608515213
102199939924
11a29899476
12514909470
13290a10200
1416c263540
15cd2090b9
hex83206b54

2199939924 has 144 divisors (see below), whose sum is σ = 6558720000. Its totient is φ = 561375360.

The previous prime is 2199939923. The next prime is 2199939967. The reversal of 2199939924 is 4299399912.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199939923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437577 + ... + 442575.

Almost surely, 22199939924 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 2199939924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279360000).

2199939924 is an abundant number, since it is smaller than the sum of its proper divisors (4358780076).

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

2199939924 is a wasteful number, since it uses less digits than its factorization.

2199939924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5070 (or 5055 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 57.

The square root of 2199939924 is about 46903.5171815505. The cubic root of 2199939924 is about 1300.5796082085.

The spelling of 2199939924 in words is "two billion, one hundred ninety-nine million, nine hundred thirty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 169 182 186 217 273 338 364 372 403 434 507 546 651 676 806 868 1014 1092 1183 1209 1302 1612 2028 2366 2418 2604 2821 3549 4732 4836 4999 5239 5642 7098 8463 9998 10478 11284 14196 14997 15717 16926 19996 20956 29994 31434 33852 34993 36673 59988 62868 64987 69986 73346 104979 110019 129974 139972 146692 154969 194961 209958 220038 259948 309938 389922 419916 440076 454909 464907 619876 779844 844831 909818 929814 1084783 1364727 1689662 1819636 1859628 2014597 2169566 2534493 2729454 3254349 3379324 4029194 4339132 5068986 5458908 5913817 6043791 6508698 8058388 10137972 11827634 12087582 13017396 14102179 17741451 23655268 24175164 26189761 28204358 35482902 42306537 52379522 56408716 70965804 78569283 84613074 104759044 157138566 169226148 183328327 314277132 366656654 549984981 733313308 1099969962 2199939924