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2232736947380 = 225294133931417
BaseRepresentation
bin100000011111011001011…
…111100001110010110100
321220110002021110202211002
4200133121133201302310
5243040121124304010
64425412153302432
7320211205626242
oct40373137416264
97813067422732
102232736947380
117909978880a5
12300877104a18
13132713c9a314
147a0ca6a9792
153d12a4ad1a5
hex207d97e1cb4

2232736947380 has 48 divisors (see below), whose sum is σ = 4851607335120. Its totient is φ = 862088844288.

The previous prime is 2232736947319. The next prime is 2232736947383. The reversal of 2232736947380 is 837496372322.

It can be written as a sum of positive squares in 8 ways, for example, as 210888484 + 2232526058896 = 14522^2 + 1494164^2 .

It is a super-3 number, since 3×22327369473803 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232736947383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1931432 + ... + 2862848.

It is an arithmetic number, because the mean of its divisors is an integer number (101075152815).

Almost surely, 22232736947380 is an apocalyptic number.

2232736947380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232736947380 is an abundant number, since it is smaller than the sum of its proper divisors (2618870387740).

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

2232736947380 is a wasteful number, since it uses less digits than its factorization.

2232736947380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935588 (or 935586 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 56.

The spelling of 2232736947380 in words is "two trillion, two hundred thirty-two billion, seven hundred thirty-six million, nine hundred forty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 4133 8266 16532 20665 41330 82660 119857 239714 479428 599285 931417 1198570 1862834 2397140 3725668 4657085 9314170 18628340 27011093 54022186 108044372 135055465 270110930 540221860 3849546461 7699092922 15398185844 19247732305 38495464610 76990929220 111636847369 223273694738 446547389476 558184236845 1116368473690 2232736947380