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2230032300984 = 2332833559104851
BaseRepresentation
bin100000011100111000010…
…010000111101110111000
321220012002210012111110100
4200130320102013232320
5243014101232112414
64424243535315400
7320054164541625
oct40347022075670
97805083174410
102230032300984
1178a82a108244
1230024137bb60
131323a2847a37
1479d113c734c
153d01cd0b609
hex20738487bb8

2230032300984 has 96 divisors (see below), whose sum is σ = 6114213705600. Its totient is φ = 734174798400.

The previous prime is 2230032300973. The next prime is 2230032301001. The reversal of 2230032300984 is 4890032300322.

2230032300984 is a `hidden beast` number, since 2 + 230 + 0 + 32 + 300 + 98 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21216159 + ... + 21321009.

It is an arithmetic number, because the mean of its divisors is an integer number (63689726100).

Almost surely, 22230032300984 is an apocalyptic number.

2230032300984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230032300984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057106852800).

2230032300984 is an abundant number, since it is smaller than the sum of its proper divisors (3884181404616).

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

2230032300984 is a wasteful number, since it uses less digits than its factorization.

2230032300984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108505 (or 108498 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2230032300984 in words is "two trillion, two hundred thirty billion, thirty-two million, three hundred thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 3559 5976 7118 10677 14236 21354 28472 32031 42708 64062 85416 104851 128124 209702 256248 295397 314553 419404 590794 629106 838808 886191 943659 1181588 1258212 1772382 1887318 2363176 2516424 2658573 3544764 3774636 5317146 7089528 7549272 8702633 10634292 17405266 21268584 26107899 34810532 52215798 69621064 78323697 104431596 156647394 208863192 313294788 373164709 626589576 746329418 1119494127 1492658836 2238988254 2985317672 3358482381 4477976508 6716964762 8955953016 13433929524 26867859048 30972670847 61945341694 92918012541 123890683388 185836025082 247781366776 278754037623 371672050164 557508075246 743344100328 1115016150492 2230032300984