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32220113422340 = 22523332417285697
BaseRepresentation
bin1110101001101110101000…
…11010100100100000000100
311020002012202002210000101202
413110313110122210200010
513210343243014003330
6152305414334442032
76533553306202454
oct724672432444004
9136065662700352
1032220113422340
11a2a2523060a28
123744582963318
1314c946103040c
147d56672c9d64
153ad1bbded445
hex1d4dd46a4804

32220113422340 has 48 divisors (see below), whose sum is σ = 67719483769392. Its totient is φ = 12877146095616.

The previous prime is 32220113422331. The next prime is 32220113422349. The reversal of 32220113422340 is 4322431102223.

It is an interprime number because it is at equal distance from previous prime (32220113422331) and next prime (32220113422349).

It can be written as a sum of positive squares in 8 ways, for example, as 1074427610116 + 31145685812224 = 1036546^2 + 5580832^2 .

It is a super-2 number, since 2×322201134223402 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32220113422349) 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 15 ways as a sum of consecutive naturals, for example, 112634372 + ... + 112920068.

It is an arithmetic number, because the mean of its divisors is an integer number (1410822578529).

Almost surely, 232220113422340 is an apocalyptic number.

It is an amenable number.

32220113422340 is an abundant number, since it is smaller than the sum of its proper divisors (35499370347052).

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

32220113422340 is a wasteful number, since it uses less digits than its factorization.

32220113422340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290456 (or 290454 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 32220113422340 its reverse (4322431102223), we get a palindrome (36542544524563).

The spelling of 32220113422340 in words is "thirty-two trillion, two hundred twenty billion, one hundred thirteen million, four hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 2333 2417 4666 4834 9332 9668 11665 12085 23330 24170 46660 48340 285697 571394 1142788 1428485 2856970 5638861 5713940 11277722 22555444 28194305 56388610 112777220 666531101 690529649 1333062202 1381059298 2666124404 2762118596 3332655505 3452648245 6665311010 6905296490 13330622020 13810592980 1611005671117 3222011342234 6444022684468 8055028355585 16110056711170 32220113422340