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1022141440 = 2105199637
BaseRepresentation
bin111100111011001…
…010010000000000
32122020100011110101
4330323022100000
54043132011230
6245232012144
734221026125
oct7473122000
92566304411
101022141440
11484a76aa1
12246391054
131339c0228
1499a7274c
155eb06aca
hex3ceca400

1022141440 has 44 divisors (see below), whose sum is σ = 2451953916. Its totient is φ = 408854528.

The previous prime is 1022141399. The next prime is 1022141441. The reversal of 1022141440 is 441412201.

It can be written as a sum of positive squares in 2 ways, for example, as 209207296 + 812934144 = 14464^2 + 28512^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022141441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94699 + ... + 104938.

Almost surely, 21022141440 is an apocalyptic number.

1022141440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022141440 is an abundant number, since it is smaller than the sum of its proper divisors (1429812476).

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

1022141440 is an equidigital number, since it uses as much as digits as its factorization.

1022141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199662 (or 199644 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1022141440 is about 31970.9468111284. The cubic root of 1022141440 is about 1007.3266688252.

Adding to 1022141440 its reverse (441412201), we get a palindrome (1463553641).

It can be divided in two parts, 10 and 22141440, that multiplied together give a square (221414400 = 148802).

The spelling of 1022141440 in words is "one billion, twenty-two million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 199637 399274 798548 998185 1597096 1996370 3194192 3992740 6388384 7985480 12776768 15970960 25553536 31941920 51107072 63883840 102214144 127767680 204428288 255535360 511070720 1022141440