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22031010400344 = 23311195039379319
BaseRepresentation
bin1010000001001011111101…
…00011001000100001011000
32220000010212222211220200220
411000211332203020201120
510341424002130302334
6114504523443400040
74432454655414261
oct500457643104130
986003788756626
1022031010400344
117024332029660
122579910983020
13c3a69134c20a
1456244140d968
15283125525449
hex14097e8c8858

22031010400344 has 256 divisors, whose sum is σ = 63447100416000. Its totient is φ = 6304704906240.

The previous prime is 22031010400331. The next prime is 22031010400379. The reversal of 22031010400344 is 44300401013022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2364091317 + ... + 2364100635.

It is an arithmetic number, because the mean of its divisors is an integer number (247840236000).

Almost surely, 222031010400344 is an apocalyptic number.

22031010400344 is a gapful number since it is divisible by the number (24) 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 22031010400344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31723550208000).

22031010400344 is an abundant number, since it is smaller than the sum of its proper divisors (41416090015656).

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

22031010400344 is a wasteful number, since it uses less digits than its factorization.

22031010400344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10798 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22031010400344 its reverse (44300401013022), we get a palindrome (66331411413366).

The spelling of 22031010400344 in words is "twenty-two trillion, thirty-one billion, ten million, four hundred thousand, three hundred forty-four".