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2303232064 = 26728572
BaseRepresentation
bin1000100101001000…
…1000100001000000
312221111221022102021
42021102020201000
514204111411224
61020314131224
7111035102200
oct21122104100
95844838367
102303232064
11a82129381
12543420b14
132a9237313
1417bc70400
15d730e1e4
hex89488840

2303232064 has 63 divisors (see below), whose sum is σ = 5322887373. Its totient is φ = 985947648.

The previous prime is 2303232053. The next prime is 2303232067. The reversal of 2303232064 is 4602323032.

It is a happy number.

The square root of 2303232064 is 47992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2134440000 + 168792064 = 46200^2 + 12992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2303232067) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2687124 + ... + 2687980.

Almost surely, 22303232064 is an apocalyptic number.

2303232064 is the 47992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2303232064

2303232064 is an abundant number, since it is smaller than the sum of its proper divisors (3019655309).

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

2303232064 is an frugal number, since it uses more digits than its factorization.

2303232064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The cubic root of 2303232064 is about 1320.6241431589.

Multiplying 2303232064 by its sum of digits (25), we get a square (57580801600 = 2399602).

Multiplying 2303232064 by its product of nonzero digits (5184), we get a square (11939955019776 = 34554242).

Adding to 2303232064 its reverse (4602323032), we get a palindrome (6905555096).

The spelling of 2303232064 in words is "two billion, three hundred three million, two hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 857 1568 1714 3136 3428 5999 6856 11998 13712 23996 27424 41993 47992 54848 83986 95984 167972 191968 335944 383936 671888 734449 1343776 1468898 2687552 2937796 5141143 5875592 10282286 11751184 20564572 23502368 35988001 41129144 47004736 71976002 82258288 143952004 164516576 287904008 329033152 575808016 1151616032 2303232064