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4222013312 = 271121012699
BaseRepresentation
bin1111101110100110…
…1100111110000000
3101220020110111110102
43323221230332000
532121313411222
61534540221532
7206424343466
oct37351547600
911806414412
104222013312
111877242100
12999b3a8a8
1352391563a
142c0a26836
1519a9cbd92
hexfba6cf80

4222013312 has 96 divisors (see below), whose sum is σ = 9340191000. Its totient is φ = 1899392000.

The previous prime is 4222013311. The next prime is 4222013321. The reversal of 4222013312 is 2133102224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222013311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1562939 + ... + 1565637.

Almost surely, 24222013312 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 4222013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670095500).

4222013312 is an abundant number, since it is smaller than the sum of its proper divisors (5118177688).

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

4222013312 is a wasteful number, since it uses less digits than its factorization.

4222013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4222013312 is about 64977.0214152665. The cubic root of 4222013312 is about 1616.2425378542.

Adding to 4222013312 its reverse (2133102224), we get a palindrome (6355115536).

The spelling of 4222013312 in words is "four billion, two hundred twenty-two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 121 128 176 202 242 352 404 484 704 808 968 1111 1408 1616 1936 2222 2699 3232 3872 4444 5398 6464 7744 8888 10796 12221 12928 15488 17776 21592 24442 29689 35552 43184 48884 59378 71104 86368 97768 118756 142208 172736 195536 237512 272599 326579 345472 391072 475024 545198 653158 782144 950048 1090396 1306316 1564288 1900096 2180792 2612632 2998589 3800192 4361584 5225264 5997178 8723168 10450528 11994356 17446336 20901056 23988712 32984479 34892672 41802112 47977424 65968958 95954848 131937916 191909696 263875832 383819392 527751664 1055503328 2111006656 4222013312