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22665040000 = 2754733881
BaseRepresentation
bin10101000110111100…
…010001000010000000
32011111120021022211221
4111012330101002000
5332404222240000
614225010244424
71431442442551
oct250674210200
964446238757
1022665040000
119680908019
124486586714
1321a2870895
141150218328
158c9be761a
hex546f11080

22665040000 has 160 divisors (see below), whose sum is σ = 57210858540. Its totient is φ = 8939520000.

The previous prime is 22665039997. The next prime is 22665040001. The reversal of 22665040000 is 4056622.

It can be written as a sum of positive squares in 10 ways, for example, as 758671936 + 21906368064 = 27544^2 + 148008^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22665040001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5838060 + ... + 5841940.

Almost surely, 222665040000 is an apocalyptic number.

22665040000 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 22665040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28605429270).

22665040000 is an abundant number, since it is smaller than the sum of its proper divisors (34545818540).

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

22665040000 is an frugal number, since it uses more digits than its factorization.

22665040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 22665040000 its reverse (4056622), we get a palindrome (22669096622).

The spelling of 22665040000 in words is "twenty-two billion, six hundred sixty-five million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 125 128 146 160 200 250 292 320 365 400 500 584 625 640 730 800 1000 1168 1250 1460 1600 1825 2000 2336 2500 2920 3200 3650 3881 4000 4672 5000 5840 7300 7762 8000 9125 9344 10000 11680 14600 15524 16000 18250 19405 20000 23360 29200 31048 36500 38810 40000 45625 46720 58400 62096 73000 77620 80000 91250 97025 116800 124192 146000 155240 182500 194050 233600 248384 283313 292000 310480 365000 388100 485125 496768 566626 584000 620960 730000 776200 970250 1133252 1168000 1241920 1416565 1460000 1552400 1940500 2266504 2425625 2483840 2833130 2920000 3104800 3881000 4533008 4851250 5666260 5840000 6209600 7082825 7762000 9066016 9702500 11332520 12419200 14165650 15524000 18132032 19405000 22665040 28331300 31048000 35414125 36264064 38810000 45330080 56662600 62096000 70828250 77620000 90660160 113325200 141656500 155240000 177070625 181320320 226650400 283313000 310480000 354141250 453300800 566626000 708282500 906601600 1133252000 1416565000 2266504000 2833130000 4533008000 5666260000 11332520000 22665040000