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2232696338340 = 2235131012280603
BaseRepresentation
bin100000011111010111000…
…100100111011110100100
321220102222110001121200120
4200133113010213132210
5243040030230311330
64425404143041540
7320210203513446
oct40372704473644
97812873047616
102232696338340
11790976970a06
123008655a02b0
1313270874c4c0
147a0c5138496
153d126b3ac10
hex207d71277a4

2232696338340 has 144 divisors (see below), whose sum is σ = 6799780204224. Its totient is φ = 544143398400.

The previous prime is 2232696338339. The next prime is 2232696338351. The reversal of 2232696338340 is 438336962322.

2232696338340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22326963383403 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7816479 + ... + 8097081.

Almost surely, 22232696338340 is an apocalyptic number.

2232696338340 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 2232696338340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399890102112).

2232696338340 is an abundant number, since it is smaller than the sum of its proper divisors (4567083865884).

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

2232696338340 is a wasteful number, since it uses less digits than its factorization.

2232696338340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280830 (or 280727 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 51.

The spelling of 2232696338340 in words is "two trillion, two hundred thirty-two billion, six hundred ninety-six million, three hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 101 130 156 195 202 260 303 390 404 505 606 780 1010 1212 1313 1515 2020 2626 3030 3939 5252 6060 6565 7878 10201 13130 15756 19695 20402 26260 30603 39390 40804 51005 61206 78780 102010 122412 132613 153015 204020 265226 280603 306030 397839 530452 561206 612060 663065 795678 841809 1122412 1326130 1403015 1591356 1683618 1989195 2652260 2806030 3367236 3647839 3978390 4209045 5612060 7295678 7956780 8418090 10943517 14591356 16836180 18239195 21887034 28340903 36478390 43774068 54717585 56681806 72956780 85022709 109435170 113363612 141704515 170045418 218870340 283409030 340090836 368431739 425113545 566818060 736863478 850227090 1105295217 1473726956 1700454180 1842158695 2210590434 2862431203 3684317390 4421180868 5526476085 5724862406 7368634780 8587293609 11052952170 11449724812 14312156015 17174587218 22105904340 28624312030 34349174436 37211605639 42936468045 57248624060 74423211278 85872936090 111634816917 148846422556 171745872180 186058028195 223269633834 372116056390 446539267668 558174084585 744232112780 1116348169170 2232696338340