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22132403124432 = 2434132173495847
BaseRepresentation
bin1010000100001000110100…
…00001101011100011010000
32220100211121020010222020020
411002010122001223203100
510400104130144440212
6115023252521343440
74443004403352666
oct502043201534320
986324536128206
1022132403124432
1170633326339a7
1225954a9037b80
13c470cc560743
145672dd40ac36
15285aabb68d8c
hex14211a06b8d0

22132403124432 has 80 divisors (see below), whose sum is σ = 58588119203712. Its totient is φ = 7195290071040.

The previous prime is 22132403124421. The next prime is 22132403124437. The reversal of 22132403124432 is 23442130423122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22132403124393 and 22132403124402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132403124437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4583133 + ... + 8078979.

Almost surely, 222132403124432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132403124432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29294059601856).

22132403124432 is an abundant number, since it is smaller than the sum of its proper divisors (36455716079280).

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

22132403124432 is a wasteful number, since it uses less digits than its factorization.

22132403124432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499116 (or 3499110 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 22132403124432 its reverse (23442130423122), we get a palindrome (45574533547554).

The spelling of 22132403124432 in words is "twenty-two trillion, one hundred thirty-two billion, four hundred three million, one hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 3217 6434 9651 12868 19302 25736 38604 51472 77208 131897 154416 263794 395691 527588 791382 1055176 1582764 2110352 3165528 3495847 6331056 6991694 10487541 13983388 20975082 27966776 41950164 55933552 83900328 143329727 167800656 286659454 429989181 573318908 859978362 1146637816 1719956724 2293275632 3439913448 6879826896 11246139799 22492279598 33738419397 44984559196 67476838794 89969118392 134953677588 179938236784 269907355176 461091731759 539814710352 922183463518 1383275195277 1844366927036 2766550390554 3688733854072 5533100781108 7377467708144 11066201562216 22132403124432