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4221690 = 2351121163
BaseRepresentation
bin10000000110101011111010
321221111001220
4100012223322
52040043230
6230252510
750612064
oct20065372
97844056
104221690
112423900
1214b7136
13b4a755
147bc734
15585d10
hex406afa

4221690 has 48 divisors (see below), whose sum is σ = 11146464. Its totient is φ = 1022560.

The previous prime is 4221683. The next prime is 4221691. The reversal of 4221690 is 961224.

It is a super-2 number, since 2×42216902 = 35645332912200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4221690.

It is not an unprimeable number, because it can be changed into a prime (4221691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3049 + ... + 4211.

It is an arithmetic number, because the mean of its divisors is an integer number (232218).

Almost surely, 24221690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4221690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573232).

4221690 is an abundant number, since it is smaller than the sum of its proper divisors (6924774).

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

4221690 is a wasteful number, since it uses less digits than its factorization.

4221690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4221690 is about 2054.6751568070. The cubic root of 4221690 is about 161.6201280764.

It can be divided in two parts, 422 and 1690, that added together give a palindrome (2112).

The spelling of 4221690 in words is "four million, two hundred twenty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1163 1210 1815 2326 3489 3630 5815 6978 11630 12793 17445 25586 34890 38379 63965 76758 127930 140723 191895 281446 383790 422169 703615 844338 1407230 2110845 4221690