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1020222144 = 26324873637
BaseRepresentation
bin111100110011110…
…101101011000000
32122002201122200100
4330303311223000
54042134102034
6245122522400
734165513404
oct7463655300
92562648610
101020222144
11483985aa7
12245806400
1313349a756
14996d3104
155e878099
hex3ccf5ac0

1020222144 has 84 divisors (see below), whose sum is σ = 2931092944. Its totient is φ = 339282432.

The previous prime is 1020222143. The next prime is 1020222169. The reversal of 1020222144 is 4412220201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1020222143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278694 + ... + 282330.

Almost surely, 21020222144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465546472).

1020222144 is an abundant number, since it is smaller than the sum of its proper divisors (1910870800).

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

1020222144 is a wasteful number, since it uses less digits than its factorization.

1020222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1020222144 is about 31940.9164552303. The cubic root of 1020222144 is about 1006.6957811168.

Adding to 1020222144 its reverse (4412220201), we get a palindrome (5432442345).

The spelling of 1020222144 in words is "one billion, twenty million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 487 576 974 1461 1948 2922 3637 3896 4383 5844 7274 7792 8766 10911 11688 14548 15584 17532 21822 23376 29096 31168 32733 35064 43644 46752 58192 65466 70128 87288 93504 116384 130932 140256 174576 232768 261864 280512 349152 523728 698304 1047456 1771219 2094912 3542438 5313657 7084876 10627314 14169752 15940971 21254628 28339504 31881942 42509256 56679008 63763884 85018512 113358016 127527768 170037024 255055536 340074048 510111072 1020222144