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4224246340 = 225376193581
BaseRepresentation
bin1111101111001000…
…1110001001000100
3101220101122221121011
43323302032021010
532122401340330
61535100132004
7206452333666
oct37362161104
911811587534
104224246340
111878527886
1299a837004
13524217b62
142c1048536
1519acbd82a
hexfbc8e244

4224246340 has 48 divisors (see below), whose sum is σ = 9260126064. Its totient is φ = 1617062400.

The previous prime is 4224246287. The next prime is 4224246349. The reversal of 4224246340 is 436424224.

4224246340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 176996416 + 4047249924 = 13304^2 + 63618^2 .

It is not an unprimeable number, because it can be changed into a prime (4224246349) 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, 1651 + ... + 91930.

It is an arithmetic number, because the mean of its divisors is an integer number (192919293).

Almost surely, 24224246340 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 4224246340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630063032).

4224246340 is an abundant number, since it is smaller than the sum of its proper divisors (5035879724).

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

4224246340 is a wasteful number, since it uses less digits than its factorization.

4224246340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93688 (or 93686 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

The square root of 4224246340 is about 64994.2023568256. The cubic root of 4224246340 is about 1616.5274318510.

The spelling of 4224246340 in words is "four billion, two hundred twenty-four million, two hundred forty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 185 244 305 370 610 740 1220 2257 4514 9028 11285 22570 45140 93581 187162 374324 467905 935810 1871620 3462497 5708441 6924994 11416882 13849988 17312485 22833764 28542205 34624970 57084410 69249940 114168820 211212317 422424634 844849268 1056061585 2112123170 4224246340