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2215305024 = 26353293743
BaseRepresentation
bin1000010000001010…
…1101111101000000
312201101111011012020
42010002231331000
514014104230044
61003453401440
7105616532142
oct20402557500
95641434166
102215305024
11a375334a9
12519a99280
13293c5ca9a
14170302c92
15ce741a19
hex840adf40

2215305024 has 112 divisors (see below), whose sum is σ = 6000365952. Its totient is φ = 721057792.

The previous prime is 2215304929. The next prime is 2215305073. The reversal of 2215305024 is 4205035122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2215304985 and 2215305003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2981197 + ... + 2981939.

It is an arithmetic number, because the mean of its divisors is an integer number (53574696).

Almost surely, 22215305024 is an apocalyptic number.

2215305024 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 2215305024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000182976).

2215305024 is an abundant number, since it is smaller than the sum of its proper divisors (3785060928).

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

2215305024 is a wasteful number, since it uses less digits than its factorization.

2215305024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2215305024 is about 47067.0269296883. The cubic root of 2215305024 is about 1303.6004773022.

The spelling of 2215305024 in words is "two billion, two hundred fifteen million, three hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 293 318 424 586 636 743 848 879 1172 1272 1486 1696 1758 2229 2344 2544 2972 3392 3516 4458 4688 5088 5944 7032 8916 9376 10176 11888 14064 15529 17832 18752 23776 28128 31058 35664 39379 46587 47552 56256 62116 71328 78758 93174 118137 124232 142656 157516 186348 217699 236274 248464 315032 372696 435398 472548 496928 630064 653097 745392 870796 945096 993856 1260128 1306194 1490784 1741592 1890192 2520256 2612388 2981568 3483184 3780384 5224776 6966368 7560768 10449552 11538047 13932736 20899104 23076094 34614141 41798208 46152188 69228282 92304376 138456564 184608752 276913128 369217504 553826256 738435008 1107652512 2215305024