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1022421440 = 2656434969
BaseRepresentation
bin111100111100001…
…110100111000000
32122020212101112202
4330330032213000
54043214441230
6245242012332
734223303345
oct7474164700
92566771482
101022421440
114851483a7
122464a70a8
13133a8a801
1499b067cc
155eb5ea45
hex3cf0e9c0

1022421440 has 56 divisors (see below), whose sum is σ = 2438918160. Its totient is φ = 408250368.

The previous prime is 1022421437. The next prime is 1022421457. The reversal of 1022421440 is 441242201.

1022421440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 203276 + ... + 208244.

It is an arithmetic number, because the mean of its divisors is an integer number (43552110).

Almost surely, 21022421440 is an apocalyptic number.

1022421440 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 1022421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219459080).

1022421440 is an abundant number, since it is smaller than the sum of its proper divisors (1416496720).

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

1022421440 is an equidigital number, since it uses as much as digits as its factorization.

1022421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5629 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1022421440 is about 31975.3254870064. The cubic root of 1022421440 is about 1007.4186410010.

Adding to 1022421440 its reverse (441242201), we get a palindrome (1463663641).

The spelling of 1022421440 in words is "one billion, twenty-two million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 643 1286 2572 3215 4969 5144 6430 9938 10288 12860 19876 20576 24845 25720 39752 41152 49690 51440 79504 99380 102880 159008 198760 205760 318016 397520 795040 1590080 3195067 6390134 12780268 15975335 25560536 31950670 51121072 63901340 102242144 127802680 204484288 255605360 511210720 1022421440