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2225414240 = 255717116881
BaseRepresentation
bin1000010010100101…
…0010000001100000
312202002111202102122
42010221102001200
514024201223430
61004454203412
7106101465110
oct20451220140
95662452378
102225414240
11a42208725
12521353568
1329608c27a
141717b5040
15d058bee5
hex84a52060

2225414240 has 96 divisors (see below), whose sum is σ = 6362121024. Its totient is φ = 718110720.

The previous prime is 2225414239. The next prime is 2225414263. The reversal of 2225414240 is 424145222.

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, 39401 + ... + 77480.

It is an arithmetic number, because the mean of its divisors is an integer number (66272094).

Almost surely, 22225414240 is an apocalyptic number.

2225414240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225414240 is an abundant number, since it is smaller than the sum of its proper divisors (4136706784).

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

2225414240 is a wasteful number, since it uses less digits than its factorization.

2225414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116920 (or 116912 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 2225414240 is about 47174.2963911493. The cubic root of 2225414240 is about 1305.5803978198.

Adding to 2225414240 its reverse (424145222), we get a palindrome (2649559462).

The spelling of 2225414240 in words is "two billion, two hundred twenty-five million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1120 1190 1360 1904 2380 2720 3808 4760 9520 19040 116881 233762 467524 584405 818167 935048 1168810 1636334 1870096 1986977 2337620 3272668 3740192 3973954 4090835 4675240 6545336 7947908 8181670 9350480 9934885 13090672 13908839 15895816 16363340 18700960 19869770 26181344 27817678 31791632 32726680 39739540 55635356 63583264 65453360 69544195 79479080 111270712 130906720 139088390 158958160 222541424 278176780 317916320 445082848 556353560 1112707120 2225414240