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1022898240 = 263357131301
BaseRepresentation
bin111100111110000…
…011000001000000
32122021202121121000
4330332003001000
54043330220430
6245300132000
734230330420
oct7476030100
92567677530
101022898240
11485443651
12246697000
13133bc6840
1499bcc480
155ec05e60
hex3cf83040

1022898240 has 448 divisors, whose sum is σ = 4444715520. Its totient is φ = 215654400.

The previous prime is 1022898223. The next prime is 1022898277. The reversal of 1022898240 is 428982201.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 1022898195 and 1022898204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785590 + ... + 786890.

It is an arithmetic number, because the mean of its divisors is an integer number (9921240).

Almost surely, 21022898240 is an apocalyptic number.

1022898240 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 1022898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222357760).

1022898240 is an abundant number, since it is smaller than the sum of its proper divisors (3421817280).

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

1022898240 is a wasteful number, since it uses less digits than its factorization.

1022898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1022898240 is about 31982.7803669412. The cubic root of 1022898240 is about 1007.5752178427.

The spelling of 1022898240 in words is "one billion, twenty-two million, eight hundred ninety-eight thousand, two hundred forty".