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23228533080 = 23335157136993
BaseRepresentation
bin10101101000100001…
…110100100101011000
32012221211120202001000
4111220201310211120
5340033001024310
614400540025000
71451424162534
oct255041644530
965854522030
1023228533080
11993a9a0785
124603232160
13226252683c
1411a4dbabc4
1590e4034c0
hex568874958

23228533080 has 128 divisors (see below), whose sum is σ = 77922187200. Its totient is φ = 6154776576.

The previous prime is 23228533063. The next prime is 23228533091. The reversal of 23228533080 is 8033582232.

It is a happy number.

23228533080 is a `hidden beast` number, since 23 + 2 + 28 + 533 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101064 + ... + 238056.

Almost surely, 223228533080 is an apocalyptic number.

23228533080 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 23228533080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38961093600).

23228533080 is an abundant number, since it is smaller than the sum of its proper divisors (54693654120).

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

23228533080 is a wasteful number, since it uses less digits than its factorization.

23228533080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137170 (or 137160 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 23228533080 in words is "twenty-three billion, two hundred twenty-eight million, five hundred thirty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 157 180 216 270 314 360 471 540 628 785 942 1080 1256 1413 1570 1884 2355 2826 3140 3768 4239 4710 5652 6280 7065 8478 9420 11304 14130 16956 18840 21195 28260 33912 42390 56520 84780 136993 169560 273986 410979 547972 684965 821958 1095944 1232937 1369930 1643916 2054895 2465874 2739860 3287832 3698811 4109790 4931748 5479720 6164685 7397622 8219580 9863496 12329370 14795244 16439160 18494055 21507901 24658740 29590488 36988110 43015802 49317480 64523703 73976220 86031604 107539505 129047406 147952440 172063208 193571109 215079010 258094812 322618515 387142218 430158020 516189624 580713327 645237030 774284436 860316040 967855545 1161426654 1290474060 1548568872 1935711090 2322853308 2580948120 2903566635 3871422180 4645706616 5807133270 7742844360 11614266540 23228533080