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4222641440 = 255315316063
BaseRepresentation
bin1111101110110000…
…0110010100100000
3101220021122102002102
43323230012110200
532121444011230
61535001505532
7206432600663
oct37354062440
911807572072
104222641440
111877631016
1299a1a22a8
13523aa5504
142c0b4b6da
1519aaa3045
hexfbb06520

4222641440 has 96 divisors (see below), whose sum is σ = 10492747776. Its totient is φ = 1603630080.

The previous prime is 4222641359. The next prime is 4222641481. The reversal of 4222641440 is 441462224.

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, 254849 + ... + 270911.

It is an arithmetic number, because the mean of its divisors is an integer number (109299456).

Almost surely, 24222641440 is an apocalyptic number.

4222641440 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 4222641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5246373888).

4222641440 is an abundant number, since it is smaller than the sum of its proper divisors (6270106336).

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

4222641440 is a wasteful number, since it uses less digits than its factorization.

4222641440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16162 (or 16154 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 4222641440 is about 64981.8546980617. The cubic root of 4222641440 is about 1616.3226857818.

The spelling of 4222641440 in words is "four billion, two hundred twenty-two million, six hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 53 62 80 106 124 155 160 212 248 265 310 424 496 530 620 848 992 1060 1240 1643 1696 2120 2480 3286 4240 4960 6572 8215 8480 13144 16063 16430 26288 32126 32860 52576 64252 65720 80315 128504 131440 160630 257008 262880 321260 497953 514016 642520 851339 995906 1285040 1702678 1991812 2489765 2570080 3405356 3983624 4256695 4979530 6810712 7967248 8513390 9959060 13621424 15934496 17026780 19918120 26391509 27242848 34053560 39836240 52783018 68107120 79672480 105566036 131957545 136214240 211132072 263915090 422264144 527830180 844528288 1055660360 2111320720 4222641440