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231719002384 = 2417270792
BaseRepresentation
bin1101011111001110000…
…1110110000100010000
3211011002220011221211111
43113303201312010100
512244030031034014
6254241130223104
722512133010422
oct3276341660420
9734086157744
10231719002384
118a2a9377161
1238aaa284a94
1318b0a884b3c
14b30295a812
156062e572c4
hex35f3876110

231719002384 has 45 divisors (see below), whose sum is σ = 476985577957. Its totient is φ = 109028832512.

The previous prime is 231719002369. The next prime is 231719002481. The reversal of 231719002384 is 483200917132.

The square root of 231719002384 is 481372.

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., 180404067600 + 51314934784 = 424740^2 + 226528^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32729757 + ... + 32736835.

Almost surely, 2231719002384 is an apocalyptic number.

231719002384 is the 481372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231719002384

231719002384 is an abundant number, since it is smaller than the sum of its proper divisors (245266575573).

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

231719002384 is an frugal number, since it uses more digits than its factorization.

231719002384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14200 (or 7098 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 231719002384 in words is "two hundred thirty-one billion, seven hundred nineteen million, two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 7079 14158 28316 56632 113264 120343 240686 481372 962744 1925488 2045831 4091662 8183324 16366648 32733296 50112241 100224482 200448964 400897928 801795856 851908097 1703816194 3407632388 6815264776 13630529552 14482437649 28964875298 57929750596 115859501192 231719002384