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22234140767040 = 26352322937311789
BaseRepresentation
bin1010000111000110010100…
…00011111111001101000000
32220201120012111110201000120
411003203022003333031000
510403241010014021130
6115142120120220240
74453235510142636
oct503431203771500
986646174421016
1022234140767040
1170a249a902674
1225b116090a680
13c53894069277
1456c1d1151356
152885636e0910
hex1438ca0ff340

22234140767040 has 448 divisors, whose sum is σ = 74188988121600. Its totient is φ = 5630935597056.

The previous prime is 22234140767011. The next prime is 22234140767089. The reversal of 22234140767040 is 4076704143222.

It is a junction number, because it is equal to n+sod(n) for n = 22234140766983 and 22234140767001.

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, 1886001466 + ... + 1886013254.

Almost surely, 222234140767040 is an apocalyptic number.

22234140767040 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 22234140767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37094494060800).

22234140767040 is an abundant number, since it is smaller than the sum of its proper divisors (51954847354560).

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

22234140767040 is a wasteful number, since it uses less digits than its factorization.

22234140767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12434 (or 12424 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 22234140767040 in words is "twenty-two trillion, two hundred thirty-four billion, one hundred forty million, seven hundred sixty-seven thousand, forty".