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22828754934 = 2332927092
BaseRepresentation
bin10101010000101100…
…110010011111110110
32011220222022220112000
4111100230302133312
5333223130124214
614253135240130
71435501133556
oct252054623766
964828286460
1022828754934
119755267517
124511379046
1321ca76221b
141167c73166
158d9285809
hex550b327f6

22828754934 has 72 divisors (see below), whose sum is σ = 52614427320. Its totient is φ = 7336822752.

The previous prime is 22828754909. The next prime is 22828754939. The reversal of 22828754934 is 43945782822.

22828754934 is a `hidden beast` number, since 2 + 2 + 82 + 8 + 75 + 493 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22828754939) 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 35 ways as a sum of consecutive naturals, for example, 32198172 + ... + 32198880.

It is an arithmetic number, because the mean of its divisors is an integer number (730755935).

Almost surely, 222828754934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22828754934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26307213660).

22828754934 is an abundant number, since it is smaller than the sum of its proper divisors (29785672386).

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

22828754934 is an frugal number, since it uses more digits than its factorization.

22828754934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 743 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

Multiplying 22828754934 by its sum of digits (54), we get a square (1232752766436 = 11102942).

22828754934 divided by its sum of digits (54) gives a square (422754721 = 205612).

The spelling of 22828754934 in words is "twenty-two billion, eight hundred twenty-eight million, seven hundred fifty-four thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 709 783 841 1418 1566 1682 2127 2523 4254 5046 6381 7569 12762 15138 19143 20561 22707 38286 41122 45414 61683 123366 185049 370098 502681 555147 596269 1005362 1110294 1192538 1508043 1788807 3016086 3577614 4524129 5366421 9048258 10732842 13572387 14577749 16099263 27144774 29155498 32198526 43733247 87466494 131199741 262399482 393599223 422754721 787198446 845509442 1268264163 2536528326 3804792489 7609584978 11414377467 22828754934