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4225140784 = 243143397499
BaseRepresentation
bin1111101111010110…
…1000100000110000
3101220110100101112201
43323311220200300
532123114001114
61535131232544
7206463050464
oct37365504060
911813311481
104225140784
111878a88897
1299aba8754
1352446c007
142c11dc4a4
1519ade8874
hexfbd68830

4225140784 has 80 divisors (see below), whose sum is σ = 8685952000. Its totient is φ = 1987856640.

The previous prime is 4225140769. The next prime is 4225140791. The reversal of 4225140784 is 4870415224.

4225140784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 8466967 + ... + 8467465.

It is an arithmetic number, because the mean of its divisors is an integer number (108574400).

Almost surely, 24225140784 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 4225140784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342976000).

4225140784 is an abundant number, since it is smaller than the sum of its proper divisors (4460811216).

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

4225140784 is a wasteful number, since it uses less digits than its factorization.

4225140784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 37.

The square root of 4225140784 is about 65001.0829448249. The cubic root of 4225140784 is about 1616.6415185706.

The spelling of 4225140784 in words is "four billion, two hundred twenty-five million, one hundred forty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 31 43 62 86 124 172 248 344 397 496 499 688 794 998 1333 1588 1996 2666 3176 3992 5332 6352 7984 10664 12307 15469 17071 21328 21457 24614 30938 34142 42914 49228 61876 68284 85828 98456 123752 136568 171656 196912 198103 247504 273136 343312 396206 529201 665167 792412 1058402 1330334 1584824 2116804 2660668 3169648 4233608 5321336 6141193 8467216 8518429 10642672 12282386 17036858 24564772 34073716 49129544 68147432 98259088 136294864 264071299 528142598 1056285196 2112570392 4225140784