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4225512160 = 255236171861
BaseRepresentation
bin1111101111011100…
…0011001011100000
3101220111001020222101
43323313003023200
532123212342120
61535143220144
7206466155302
oct37367031340
911814036871
104225512160
111879211911
1299b147654
1352456c06c
142c1297972
1519ae6d90a
hexfbdc32e0

4225512160 has 96 divisors (see below), whose sum is σ = 10439295552. Its totient is φ = 1613230080.

The previous prime is 4225512149. The next prime is 4225512167. The reversal of 4225512160 is 612155224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225512167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2269630 + ... + 2271490.

It is an arithmetic number, because the mean of its divisors is an integer number (108742662).

Almost surely, 24225512160 is an apocalyptic number.

4225512160 is a gapful number since it is divisible by the number (40) 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 4225512160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219647776).

4225512160 is an abundant number, since it is smaller than the sum of its proper divisors (6213783392).

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

4225512160 is a wasteful number, since it uses less digits than its factorization.

4225512160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 4225512160 is about 65003.9395729213. The cubic root of 4225512160 is about 1616.6888830097.

Adding to 4225512160 its reverse (612155224), we get a palindrome (4837667384).

The spelling of 4225512160 in words is "four billion, two hundred twenty-five million, five hundred twelve thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 617 736 920 1234 1840 1861 2468 3085 3680 3722 4936 6170 7444 9305 9872 12340 14191 14888 18610 19744 24680 28382 29776 37220 42803 49360 56764 59552 70955 74440 85606 98720 113528 141910 148880 171212 214015 227056 283820 297760 342424 428030 454112 567640 684848 856060 1135280 1148237 1369696 1712120 2270560 2296474 3424240 4592948 5741185 6848480 9185896 11482370 18371792 22964740 26409451 36743584 45929480 52818902 91858960 105637804 132047255 183717920 211275608 264094510 422551216 528189020 845102432 1056378040 2112756080 4225512160