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1022069664 = 2536711569
BaseRepresentation
bin111100111010111…
…000101110100000
32122020012112000000
4330322320232200
54043122212124
6245230300000
734220306640
oct7472705640
92566175000
101022069664
11484a28080
12246357600
13133996665
1499a54520
155eae06c9
hex3ceb8ba0

1022069664 has 336 divisors, whose sum is σ = 3767964480. Its totient is φ = 265006080.

The previous prime is 1022069663. The next prime is 1022069669. The reversal of 1022069664 is 4669602201.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1022069663) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1795972 + ... + 1796540.

It is an arithmetic number, because the mean of its divisors is an integer number (11214180).

Almost surely, 21022069664 is an apocalyptic number.

1022069664 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 1022069664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883982240).

1022069664 is an abundant number, since it is smaller than the sum of its proper divisors (2745894816).

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

1022069664 is an equidigital number, since it uses as much as digits as its factorization.

1022069664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1022069664 is about 31969.8242722728. The cubic root of 1022069664 is about 1007.3030897103.

The spelling of 1022069664 in words is "one billion, twenty-two million, sixty-nine thousand, six hundred sixty-four".