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2234331431220 = 2235717312931573
BaseRepresentation
bin100000100000111000100…
…010000000000100110100
321220121012101202221110010
4200200320202000010310
5243101402321244340
64430234312500220
7320265546543210
oct40407042000464
97817171687403
102234331431220
11791635931439
123010410aa670
13132909421395
147a1dc365940
153d1c046cb80
hex20838880134

2234331431220 has 96 divisors (see below), whose sum is σ = 7570440638208. Its totient is φ = 480662894592.

The previous prime is 2234331431191. The next prime is 2234331431221. The reversal of 2234331431220 is 221341334322.

It is a happy number.

It is a super-2 number, since 2×22343314312202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234331431221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156458647 + ... + 156472926.

It is an arithmetic number, because the mean of its divisors is an integer number (78858756648).

Almost surely, 22234331431220 is an apocalyptic number.

2234331431220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2234331431220 is an abundant number, since it is smaller than the sum of its proper divisors (5336109206988).

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

2234331431220 is a wasteful number, since it uses less digits than its factorization.

2234331431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312931609 (or 312931607 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2234331431220 its reverse (221341334322), we get a palindrome (2455672765542).

The spelling of 2234331431220 in words is "two trillion, two hundred thirty-four billion, three hundred thirty-one million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 312931573 625863146 938794719 1251726292 1564657865 1877589438 2190521011 3129315730 3755178876 4381042022 4693973595 5319836741 6258631460 6571563033 8762084044 9387947190 10639673482 10952605055 13143126066 15959510223 18775894380 21279346964 21905210110 26286252132 26599183705 31919020446 32857815165 37238857187 43810420220 53198367410 63838040892 65715630330 74477714374 79797551115 106396734820 111716571561 131431260660 148955428748 159595102230 186194285935 223433143122 319190204460 372388571870 446866286244 558582857805 744777143740 1117165715610 2234331431220