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4222505232 = 24321123115901
BaseRepresentation
bin1111101110101110…
…0101000100010000
3101220021101111020200
43323223211010100
532121430131412
61534554535200
7206431462611
oct37353450420
911807344220
104222505232
111877548750
1299a137500
13523a5850a
142c0b13c08
1519aa779dc
hexfbae5110

4222505232 has 120 divisors (see below), whose sum is σ = 13452049728. Its totient is φ = 1223904000.

The previous prime is 4222505173. The next prime is 4222505251. The reversal of 4222505232 is 2325052224.

4222505232 is a `hidden beast` number, since 422 + 2 + 5 + 0 + 5 + 232 = 666.

4222505232 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4222505196 and 4222505205.

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, 21519 + ... + 94382.

Almost surely, 24222505232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4222505232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726024864).

4222505232 is an abundant number, since it is smaller than the sum of its proper divisors (9229544496).

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

4222505232 is a wasteful number, since it uses less digits than its factorization.

4222505232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115949 (or 115940 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 4222505232 is about 64980.8066431927. The cubic root of 4222505232 is about 1616.3053065773.

Adding to 4222505232 its reverse (2325052224), we get a palindrome (6547557456).

The spelling of 4222505232 in words is "four billion, two hundred twenty-two million, five hundred five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 66 69 72 88 92 99 132 138 144 176 184 198 207 253 264 276 368 396 414 506 528 552 759 792 828 1012 1104 1518 1584 1656 2024 2277 3036 3312 4048 4554 6072 9108 12144 18216 36432 115901 231802 347703 463604 695406 927208 1043109 1274911 1390812 1854416 2086218 2549822 2665723 2781624 3824733 4172436 5099644 5331446 5563248 7649466 7997169 8344872 10199288 10662892 11474199 15298932 15994338 16689744 20398576 21325784 22948398 23991507 29322953 30597864 31988676 42651568 45896796 47983014 58645906 61195728 63977352 87968859 91793592 95966028 117291812 127954704 175937718 183587184 191932056 234583624 263906577 351875436 383864112 469167248 527813154 703750872 1055626308 1407501744 2111252616 4222505232