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1024223424 = 26371922111
BaseRepresentation
bin111101000011000…
…110100011000000
32122101020221101220
4331003012203000
54044200122144
6245344355040
734244520060
oct7503064300
92571227356
101024223424
11486169244
12247015a80
1313426ba83
149a0553a0
155edb8919
hex3d0c68c0

1024223424 has 168 divisors, whose sum is σ = 3270187008. Its totient is φ = 277102080.

The previous prime is 1024223413. The next prime is 1024223441. The reversal of 1024223424 is 4243224201.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×10242234243 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1024223394 and 1024223403.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484129 + ... + 486239.

Almost surely, 21024223424 is an apocalyptic number.

1024223424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635093504).

1024223424 is an abundant number, since it is smaller than the sum of its proper divisors (2245963584).

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

1024223424 is a wasteful number, since it uses less digits than its factorization.

1024223424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1024223424 is about 32003.4908095976. The cubic root of 1024223424 is about 1008.0101409915.

Adding to 1024223424 its reverse (4243224201), we get a palindrome (5267447625).

The spelling of 1024223424 in words is "one billion, twenty-four million, two hundred twenty-three thousand, four hundred twenty-four".