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2230341984 = 253213595711
BaseRepresentation
bin1000010011110000…
…0101000101100000
312202102210010000200
42010330011011200
514031431420414
61005151545200
7106161410523
oct20474050540
95672703020
102230341984
11a44a73a42
12522b2b200
132970c61b0
141722d8bba
15d0c12109
hex84f05160

2230341984 has 72 divisors (see below), whose sum is σ = 6830433792. Its totient is φ = 686257920.

The previous prime is 2230341899. The next prime is 2230341989. The reversal of 2230341984 is 4891430322.

2230341984 is a `hidden beast` number, since 2 + 230 + 3 + 419 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230341989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294112 + ... + 301599.

It is an arithmetic number, because the mean of its divisors is an integer number (94867136).

Almost surely, 22230341984 is an apocalyptic number.

2230341984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2230341984 is an abundant number, since it is smaller than the sum of its proper divisors (4600091808).

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

2230341984 is a wasteful number, since it uses less digits than its factorization.

2230341984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595740 (or 595729 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2230341984 is about 47226.4966305992. The cubic root of 2230341984 is about 1306.5433381218.

The spelling of 2230341984 in words is "two billion, two hundred thirty million, three hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 595711 1191422 1787133 2382844 3574266 4765688 5361399 7148532 7744243 9531376 10722798 14297064 15488486 19062752 21445596 23232729 28594128 30976972 42891192 46465458 57188256 61953944 69698187 85782384 92930916 123907888 139396374 171564768 185861832 247815776 278792748 371723664 557585496 743447328 1115170992 2230341984