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1022426440 = 235731711519
BaseRepresentation
bin111100111100001…
…111110101001000
32122020212122101221
4330330033311020
54043220121230
6245242051424
734223324050
oct7474176510
92566778357
101022426440
11485151132
122464a9b74
13133a8cb79
1499b08560
155eb6127a
hex3cf0fd48

1022426440 has 64 divisors (see below), whose sum is σ = 2637619200. Its totient is φ = 349410048.

The previous prime is 1022426413. The next prime is 1022426467. The reversal of 1022426440 is 446242201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1022426413) and next prime (1022426467).

It is a super-2 number, since 2×10224264402 = 2090711650422147200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83001 + ... + 94519.

It is an arithmetic number, because the mean of its divisors is an integer number (41212800).

Almost surely, 21022426440 is an apocalyptic number.

1022426440 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 1022426440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318809600).

1022426440 is an abundant number, since it is smaller than the sum of its proper divisors (1615192760).

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

1022426440 is a wasteful number, since it uses less digits than its factorization.

1022426440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11854 (or 11850 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1022426440 is about 31975.4036721978. The cubic root of 1022426440 is about 1007.4202832087.

Adding to 1022426440 its reverse (446242201), we get a palindrome (1468668641).

The spelling of 1022426440 in words is "one billion, twenty-two million, four hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 317 634 1268 1585 2219 2536 3170 4438 6340 8876 11095 11519 12680 17752 22190 23038 44380 46076 57595 80633 88760 92152 115190 161266 230380 322532 403165 460760 645064 806330 1612660 3225320 3651523 7303046 14606092 18257615 25560661 29212184 36515230 51121322 73030460 102242644 127803305 146060920 204485288 255606610 511213220 1022426440