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2234131223220 = 22335132236117449
BaseRepresentation
bin100000100000101100100…
…110010001001010110100
321220120200110001022201000
4200200230212101022310
5243101000043120340
64430202401403300
7320260566031341
oct40405446211264
97816613038630
102234131223220
11791542917186
12300ba6039530
131328a6ac3500
147a1bd92b7c8
153d1acac1d30
hex2082c9912b4

2234131223220 has 576 divisors, whose sum is σ = 7982864064000. Its totient is φ = 517376471040.

The previous prime is 2234131223117. The next prime is 2234131223227. The reversal of 2234131223220 is 223221314322.

2234131223220 is a `hidden beast` number, since 2 + 2 + 3 + 413 + 1 + 2 + 23 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234131223227) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128029056 + ... + 128046504.

It is an arithmetic number, because the mean of its divisors is an integer number (13859139000).

Almost surely, 22234131223220 is an apocalyptic number.

2234131223220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234131223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991432032000).

2234131223220 is an abundant number, since it is smaller than the sum of its proper divisors (5748732840780).

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

2234131223220 is a wasteful number, since it uses less digits than its factorization.

2234131223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17577 (or 17556 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2234131223220 its reverse (223221314322), we get a palindrome (2457352537542).

The spelling of 2234131223220 in words is "two trillion, two hundred thirty-four billion, one hundred thirty-one million, two hundred twenty-three thousand, two hundred twenty".