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4221220032 = 263266111087
BaseRepresentation
bin1111101110011010…
…1011010011000000
3101220011222012021200
43323212223103000
532121113020112
61534511221200
7206414530641
oct37346532300
911804865250
104221220032
1118768500a7
12999817800
135236c8543
142c089b6c8
1519a8c1cdc
hexfb9ab4c0

4221220032 has 84 divisors (see below), whose sum is σ = 12118762656. Its totient is φ = 1404817920.

The previous prime is 4221220027. The next prime is 4221220051. The reversal of 4221220032 is 2300221224.

4221220032 is a `hidden beast` number, since 422 + 12 + 200 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4221219987 and 4221220014.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 375193 + ... + 386279.

It is an arithmetic number, because the mean of its divisors is an integer number (144270984).

Almost surely, 24221220032 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 4221220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059381328).

4221220032 is an abundant number, since it is smaller than the sum of its proper divisors (7897542624).

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

4221220032 is a wasteful number, since it uses less digits than its factorization.

4221220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11766 (or 11753 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4221220032 is about 64970.9168166804. The cubic root of 4221220032 is about 1616.1413054883.

Adding to 4221220032 its reverse (2300221224), we get a palindrome (6521441256).

The spelling of 4221220032 in words is "four billion, two hundred twenty-one million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 661 1322 1983 2644 3966 5288 5949 7932 10576 11087 11898 15864 21152 22174 23796 31728 33261 42304 44348 47592 63456 66522 88696 95184 99783 126912 133044 177392 190368 199566 266088 354784 380736 399132 532176 709568 798264 1064352 1596528 2128704 3193056 6386112 7328507 14657014 21985521 29314028 43971042 58628056 65956563 87942084 117256112 131913126 175884168 234512224 263826252 351768336 469024448 527652504 703536672 1055305008 1407073344 2110610016 4221220032