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1022423040 = 212335432
BaseRepresentation
bin111100111100001…
…111000000000000
32122020212110202000
4330330033000000
54043220014130
6245242024000
734223311122
oct7474170000
92566773660
101022423040
11485149621
122464a8000
13133a8b462
1499b07212
155eb60260
hex3cf0f000

1022423040 has 312 divisors, whose sum is σ = 3721335120. Its totient is φ = 266305536.

The previous prime is 1022423029. The next prime is 1022423047. The reversal of 1022423040 is 403242201.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022423047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23777259 + ... + 23777301.

Almost surely, 21022423040 is an apocalyptic number.

1022423040 is a gapful number since it is divisible by the number (10) 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 1022423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860667560).

1022423040 is an abundant number, since it is smaller than the sum of its proper divisors (2698912080).

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

1022423040 is an frugal number, since it uses more digits than its factorization.

1022423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 53 counting only the distinct ones).

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

The square root of 1022423040 is about 31975.3505062884. The cubic root of 1022423040 is about 1007.4191665080.

Adding to 1022423040 its reverse (403242201), we get a palindrome (1425665241).

The spelling of 1022423040 in words is "one billion, twenty-two million, four hundred twenty-three thousand, forty".