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2314222034200 = 235229795050681
BaseRepresentation
bin100001101011010010011…
…000011101110100011000
322012020102010001001221121
4201223102120131310120
5300404011320043300
64531050001415024
7326124402504106
oct41532230356430
98166363031847
102314222034200
1181250200895a
1231461833a474
1313a2cb9a241b
148001a784c76
15402e902c81a
hex21ad261dd18

2314222034200 has 96 divisors (see below), whose sum is σ = 5636561112000. Its totient is φ = 882454809600.

The previous prime is 2314222034197. The next prime is 2314222034203. The reversal of 2314222034200 is 24302224132.

It is an interprime number because it is at equal distance from previous prime (2314222034197) and next prime (2314222034203).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314222034203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2067141 + ... + 2983540.

It is an arithmetic number, because the mean of its divisors is an integer number (58714178250).

Almost surely, 22314222034200 is an apocalyptic number.

2314222034200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314222034200 is an abundant number, since it is smaller than the sum of its proper divisors (3322339077800).

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

2314222034200 is a wasteful number, since it uses less digits than its factorization.

2314222034200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050805 (or 5050796 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 2314222034200 its reverse (24302224132), we get a palindrome (2338524258332).

It can be divided in two parts, 231422 and 2034200, that added together give a palindrome (2265622).

The spelling of 2314222034200 in words is "two trillion, three hundred fourteen billion, two hundred twenty-two million, thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 79 100 116 145 158 200 232 290 316 395 580 632 725 790 1160 1450 1580 1975 2291 2900 3160 3950 4582 5800 7900 9164 11455 15800 18328 22910 45820 57275 91640 114550 229100 458200 5050681 10101362 20202724 25253405 40405448 50506810 101013620 126267025 146469749 202027240 252534050 292939498 399003799 505068100 585878996 732348745 798007598 1010136200 1171757992 1464697490 1596015196 1995018995 2929394980 3192030392 3661743725 3990037990 5858789960 7323487450 7980075980 9975094975 11571110171 14646974900 15960151960 19950189950 23142220342 29293949800 39900379900 46284440684 57855550855 79800759800 92568881368 115711101710 231422203420 289277754275 462844406840 578555508550 1157111017100 2314222034200