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2262132313532 = 2271347731811323
BaseRepresentation
bin100000111010110001100…
…101111100110110111100
322000020221220001002110222
4200322301211330312330
5244030321333013112
64451113110120512
7322301514256220
oct40726145746674
98006856032428
102262132313532
117a2401798833
123064bb650138
1313541a0035c0
147b6b86c2780
153dc9aea1372
hex20eb197cdbc

2262132313532 has 96 divisors (see below), whose sum is σ = 5044117112832. Its totient is φ = 863870178816.

The previous prime is 2262132313487. The next prime is 2262132313583. The reversal of 2262132313532 is 2353132312622.

It is a junction number, because it is equal to n+sod(n) for n = 2262132313492 and 2262132313501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343223 + ... + 2154545.

It is an arithmetic number, because the mean of its divisors is an integer number (52542886592).

Almost surely, 22262132313532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262132313532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522058556416).

2262132313532 is an abundant number, since it is smaller than the sum of its proper divisors (2781984799300).

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

2262132313532 is a wasteful number, since it uses less digits than its factorization.

2262132313532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811467 (or 1811465 counting only the distinct ones).

The product of its digits is 77760, while the sum is 35.

The spelling of 2262132313532 in words is "two trillion, two hundred sixty-two billion, one hundred thirty-two million, three hundred thirteen thousand, five hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 47 52 73 91 94 146 182 188 292 329 364 511 611 658 949 1022 1222 1316 1898 2044 2444 3431 3796 4277 6643 6862 8554 13286 13724 17108 24017 26572 44603 48034 89206 96068 178412 312221 624442 1248884 1811323 3622646 7245292 12679261 23547199 25358522 47094398 50717044 85132181 94188796 132226579 164830393 170264362 264453158 329660786 340528724 528906316 595925267 659321572 925586053 1106718353 1191850534 1718945527 1851172106 2213436706 2383701068 3437891054 3702344212 4426873412 6214649213 6875782108 7747028471 12032618689 12429298426 15494056942 24065237378 24858596852 30988113884 43502544491 48130474756 80790439769 87005088982 161580879538 174010177964 323161759076 565533078383 1131066156766 2262132313532