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2232015440 = 245791791973
BaseRepresentation
bin1000010100001001…
…1101101001010000
312202112221010120112
42011002131221100
514032343443230
61005251500452
7106211550434
oct20502355120
95675833515
102232015440
11a45a07266
125235b7728
13297560ac5
141726129c4
15d0e42d95
hex8509da50

2232015440 has 80 divisors (see below), whose sum is σ = 5287161600. Its totient is φ = 876135936.

The previous prime is 2232015433. The next prime is 2232015509. The reversal of 2232015440 is 445102322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22320154403 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1130294 + ... + 1132266.

It is an arithmetic number, because the mean of its divisors is an integer number (66089520).

Almost surely, 22232015440 is an apocalyptic number.

2232015440 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 2232015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643580800).

2232015440 is an abundant number, since it is smaller than the sum of its proper divisors (3055146160).

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

2232015440 is a wasteful number, since it uses less digits than its factorization.

2232015440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2232015440 is about 47244.2106506183. The cubic root of 2232015440 is about 1306.8700288554.

Adding to 2232015440 its reverse (445102322), we get a palindrome (2677117762).

The spelling of 2232015440 in words is "two billion, two hundred thirty-two million, fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 179 316 358 395 632 716 790 895 1264 1432 1580 1790 1973 2864 3160 3580 3946 6320 7160 7892 9865 14141 14320 15784 19730 28282 31568 39460 56564 70705 78920 113128 141410 155867 157840 226256 282820 311734 353167 565640 623468 706334 779335 1131280 1246936 1412668 1558670 1765835 2493872 2825336 3117340 3531670 5650672 6234680 7063340 12469360 14126680 27900193 28253360 55800386 111600772 139500965 223201544 279001930 446403088 558003860 1116007720 2232015440