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4222904472 = 2332131463967
BaseRepresentation
bin1111101110110100…
…0110100010011000
3101220022010202220100
43323231012202120
532122030420342
61535011255400
7206435044563
oct37355064230
911808122810
104222904472
1118777a06a6
1299a2aa560
13523b68157
142c0bb94da
1519ab05e4c
hexfbb46898

4222904472 has 96 divisors (see below), whose sum is σ = 11561172480. Its totient is φ = 1392431040.

The previous prime is 4222904471. The next prime is 4222904503. The reversal of 4222904472 is 2744092224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222904471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4366533 + ... + 4367499.

It is an arithmetic number, because the mean of its divisors is an integer number (120428880).

Almost surely, 24222904472 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 4222904472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780586240).

4222904472 is an abundant number, since it is smaller than the sum of its proper divisors (7338268008).

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

4222904472 is a wasteful number, since it uses less digits than its factorization.

4222904472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4222904472 is about 64983.8785546077. The cubic root of 4222904472 is about 1616.3562457993.

Adding to 4222904472 its reverse (2744092224), we get a palindrome (6966996696).

The spelling of 4222904472 in words is "four billion, two hundred twenty-two million, nine hundred four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 463 524 786 926 967 1048 1179 1389 1572 1852 1934 2358 2778 2901 3144 3704 3868 4167 4716 5556 5802 7736 8334 8703 9432 11112 11604 16668 17406 23208 33336 34812 60653 69624 121306 126677 181959 242612 253354 363918 380031 447721 485224 506708 545877 727836 760062 895442 1013416 1091754 1140093 1343163 1455672 1520124 1790884 2183508 2280186 2686326 3040248 3581768 4029489 4367016 4560372 5372652 8058978 9120744 10745304 16117956 32235912 58651451 117302902 175954353 234605804 351908706 469211608 527863059 703817412 1055726118 1407634824 2111452236 4222904472