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2331012320 = 255721322871
BaseRepresentation
bin1000101011110000…
…0110110011100000
320000110012200202122
42022330012303200
514233214343240
61023145403412
7111523164200
oct21274066340
96013180678
102331012320
11a9688306a
12550799568
132b1c12b40
14181822400
15d999a4b5
hex8af06ce0

2331012320 has 144 divisors (see below), whose sum is σ = 6899201568. Its totient is φ = 737694720.

The previous prime is 2331012311. The next prime is 2331012371. The reversal of 2331012320 is 232101332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90485 + ... + 113355.

It is an arithmetic number, because the mean of its divisors is an integer number (47911122).

Almost surely, 22331012320 is an apocalyptic number.

2331012320 is a gapful number since it is divisible by the number (20) 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 2331012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449600784).

2331012320 is an abundant number, since it is smaller than the sum of its proper divisors (4568189248).

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

2331012320 is a wasteful number, since it uses less digits than its factorization.

2331012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22913 (or 22898 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2331012320 is about 48280.5584060499. The cubic root of 2331012320 is about 1325.9124736438.

Adding to 2331012320 its reverse (232101332), we get a palindrome (2563113652).

It can be divided in two parts, 2331012 and 320, that added together give a palindrome (2331332).

The spelling of 2331012320 in words is "two billion, three hundred thirty-one million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 65 70 80 91 98 104 112 130 140 160 182 196 208 224 245 260 280 364 392 416 455 490 520 560 637 728 784 910 980 1040 1120 1274 1456 1568 1820 1960 2080 2548 2912 3185 3640 3920 5096 6370 7280 7840 10192 12740 14560 20384 22871 25480 45742 50960 91484 101920 114355 160097 182968 228710 297323 320194 365936 457420 594646 640388 731872 800485 914840 1120679 1189292 1280776 1486615 1600970 1829680 2081261 2241358 2378584 2561552 2973230 3201940 3659360 4162522 4482716 4757168 5123104 5603395 5946460 6403880 8325044 8965432 9514336 10406305 11206790 11892920 12807760 14568827 16650088 17930864 20812610 22413580 23785840 25615520 29137654 33300176 35861728 41625220 44827160 47571680 58275308 66600352 72844135 83250440 89654320 116550616 145688270 166500880 179308640 233101232 291376540 333001760 466202464 582753080 1165506160 2331012320