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4231225440 = 2532513226027
BaseRepresentation
bin1111110000110011…
…0110000001100000
3101220212210112010100
43330030312001200
532131143203230
61535505502400
7206565552141
oct37414660140
911825715110
104231225440
111881464332
129a1041a00
135257bc6c0
142c1d43ac8
1519b6eb660
hexfc336060

4231225440 has 144 divisors (see below), whose sum is σ = 15549822288. Its totient is φ = 1041527808.

The previous prime is 4231225423. The next prime is 4231225487. The reversal of 4231225440 is 445221324.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94294 + ... + 131733.

It is an arithmetic number, because the mean of its divisors is an integer number (107984877).

Almost surely, 24231225440 is an apocalyptic number.

4231225440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4231225440 is an abundant number, since it is smaller than the sum of its proper divisors (11318596848).

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

4231225440 is a wasteful number, since it uses less digits than its factorization.

4231225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226061 (or 226050 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4231225440 is about 65047.8703725187. The cubic root of 4231225440 is about 1617.4171920784.

Adding to 4231225440 its reverse (445221324), we get a palindrome (4676446764).

The spelling of 4231225440 in words is "four billion, two hundred thirty-one million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 226027 452054 678081 904108 1130135 1356162 1808216 2034243 2260270 2712324 2938351 3390405 3616432 4068486 4520540 5424648 5876702 6780810 7232864 8136972 8815053 9041080 10171215 10849296 11753404 13561620 14691755 16273944 17630106 18082160 20342430 21698592 23506808 26445159 27123240 29383510 32547888 35260212 36164320 40684860 44075265 47013616 52890318 54246480 58767020 65095776 70520424 81369720 88150530 94027232 105780636 108492960 117534040 132225795 141040848 162739440 176301060 211561272 235068080 264451590 282081696 325478880 352602120 423122544 470136160 528903180 705204240 846245088 1057806360 1410408480 2115612720 4231225440