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228026864040 = 23352395386693
BaseRepresentation
bin1101010001011101110…
…1011101000110101000
3210210120120202220011220
43110113131131012220
512213444334122130
6252430515022040
722321501235613
oct3242735350650
9723516686156
10228026864040
1188784246a58
123823989a920
131866c9846b1
14b07246517a
155de8c45410
hex351775d1a8

228026864040 has 128 divisors (see below), whose sum is σ = 714580496640. Its totient is φ = 58101671936.

The previous prime is 228026864003. The next prime is 228026864041. The reversal of 228026864040 is 40468620822.

It is a junction number, because it is equal to n+sod(n) for n = 228026863983 and 228026864001.

It is not an unprimeable number, because it can be changed into a prime (228026864041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2586934 + ... + 2673626.

It is an arithmetic number, because the mean of its divisors is an integer number (5582660130).

Almost surely, 2228026864040 is an apocalyptic number.

228026864040 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 228026864040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357290248320).

228026864040 is an abundant number, since it is smaller than the sum of its proper divisors (486553632600).

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

228026864040 is a wasteful number, since it uses less digits than its factorization.

228026864040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87683 (or 87679 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 228026864040 in words is "two hundred twenty-eight billion, twenty-six million, eight hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 953 1380 1906 2760 2859 3812 4765 5718 7624 9530 11436 14295 19060 21919 22872 28590 38120 43838 57180 65757 86693 87676 109595 114360 131514 173386 175352 219190 260079 263028 328785 346772 433465 438380 520158 526056 657570 693544 866930 876760 1040316 1300395 1315140 1733860 1993939 2080632 2600790 2630280 3467720 3987878 5201580 5981817 7975756 9969695 10403160 11963634 15951512 19939390 23927268 29909085 39878780 47854536 59818170 79757560 82618429 119636340 165236858 239272680 247855287 330473716 413092145 495710574 660947432 826184290 991421148 1239276435 1652368580 1900223867 1982842296 2478552870 3304737160 3800447734 4957105740 5700671601 7600895468 9501119335 9914211480 11401343202 15201790936 19002238670 22802686404 28503358005 38004477340 45605372808 57006716010 76008954680 114013432020 228026864040