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4022321024 = 2773795449
BaseRepresentation
bin1110111110111111…
…1011111110000000
3101101022201002010202
43233233323332000
531214203233044
61503044144332
7201451110311
oct35757737600
911338632122
104022321024
11178454a357
129430980a8
134c1438417
142a22c4608
151881d3c4e
hexefbfbf80

4022321024 has 64 divisors (see below), whose sum is σ = 8227320000. Its totient is φ = 1958141952.

The previous prime is 4022320999. The next prime is 4022321099. The reversal of 4022321024 is 4201232204.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×40223210242 = 32358132840224817152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4022320987 and 4022321005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 735452 + ... + 740900.

It is an arithmetic number, because the mean of its divisors is an integer number (128551875).

Almost surely, 24022321024 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 4022321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113660000).

4022321024 is an abundant number, since it is smaller than the sum of its proper divisors (4204998976).

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

4022321024 is an equidigital number, since it uses as much as digits as its factorization.

4022321024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5615 (or 5603 counting only the distinct ones).

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

The square root of 4022321024 is about 63421.7708992740. The cubic root of 4022321024 is about 1590.3482780702.

Adding to 4022321024 its reverse (4201232204), we get a palindrome (8223553228).

The spelling of 4022321024 in words is "four billion, twenty-two million, three hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 73 79 128 146 158 292 316 584 632 1168 1264 2336 2528 4672 5056 5449 5767 9344 10112 10898 11534 21796 23068 43592 46136 87184 92272 174368 184544 348736 369088 397777 430471 697472 738176 795554 860942 1591108 1721884 3182216 3443768 6364432 6887536 12728864 13775072 25457728 27550144 31424383 50915456 55100288 62848766 125697532 251395064 502790128 1005580256 2011160512 4022321024