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2246728484 = 22711213291759
BaseRepresentation
bin1000010111101010…
…0101101100100100
312210120121122002002
42011322211230210
514100130302414
61010535104432
7106450606550
oct20572455444
95716548062
102246728484
11a53246400
12528512118
1329a612950
14174562860
15d239c4de
hex85ea5b24

2246728484 has 144 divisors (see below), whose sum is σ = 5505561600. Its totient is φ = 779708160.

The previous prime is 2246728447. The next prime is 2246728493. The reversal of 2246728484 is 4848276422.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276397 + ... + 1278155.

Almost surely, 22246728484 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 2246728484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752780800).

2246728484 is an abundant number, since it is smaller than the sum of its proper divisors (3258833116).

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

2246728484 is a wasteful number, since it uses less digits than its factorization.

2246728484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1821 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 47.

The square root of 2246728484 is about 47399.6675515768. The cubic root of 2246728484 is about 1309.7352929402.

The spelling of 2246728484 in words is "two billion, two hundred forty-six million, seven hundred twenty-eight thousand, four hundred eighty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 29 44 52 58 77 91 116 121 143 154 182 203 242 286 308 319 364 377 406 484 572 638 754 812 847 1001 1276 1508 1573 1694 1759 2002 2233 2639 3146 3388 3509 3518 4004 4147 4466 5278 6292 7018 7036 8294 8932 10556 11011 12313 14036 16588 19349 22022 22867 24563 24626 29029 38698 44044 45617 45734 49126 49252 51011 58058 77396 91234 91468 98252 102022 116116 135443 160069 182468 204044 212839 251537 270886 319319 320138 357077 425678 503074 541772 561121 638638 640276 663143 714154 851356 1006148 1122242 1277276 1326286 1428308 1489873 1760759 2244484 2652572 2766907 2979746 3521518 3927847 4642001 5533814 5959492 6172331 7043036 7294573 7855694 9284002 11067628 12344662 14589146 15711388 18568004 19368349 24689324 29178292 38736698 43206317 51062011 77473396 80240303 86412634 102124022 160480606 172825268 204248044 320961212 561682121 1123364242 2246728484