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4220321024 = 2826362683
BaseRepresentation
bin1111101110001100…
…1111110100000000
3101220010021112002002
43323203033310000
532120400233044
61534440043132
7206404064633
oct37343176400
911803245062
104220321024
111876296717
129994634a8
1352347229a
142c0705c1a
1519a79574e
hexfb8cfd00

4220321024 has 36 divisors (see below), whose sum is σ = 8456322336. Its totient is φ = 2102103552.

The previous prime is 4220321023. The next prime is 4220321029. The reversal of 4220321024 is 4201230224.

It is a super-2 number, since 2×42203210242 = 35622219091232817152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4220320987 and 4220321005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220321023) 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 3 ways as a sum of consecutive naturals, for example, 35987 + ... + 98669.

Almost surely, 24220321024 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 4220321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228161168).

4220321024 is an abundant number, since it is smaller than the sum of its proper divisors (4236001312).

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

4220321024 is an equidigital number, since it uses as much as digits as its factorization.

4220321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62962 (or 62948 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4220321024 is about 64963.9979065328. The cubic root of 4220321024 is about 1616.0265655862.

Adding to 4220321024 its reverse (4201230224), we get a palindrome (8421551248).

The spelling of 4220321024 in words is "four billion, two hundred twenty million, three hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 263 526 1052 2104 4208 8416 16832 33664 62683 67328 125366 250732 501464 1002928 2005856 4011712 8023424 16046848 16485629 32971258 65942516 131885032 263770064 527540128 1055080256 2110160512 4220321024