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1022200020 = 223357325931
BaseRepresentation
bin111100111011011…
…000100011010100
32122020110010211000
4330323120203110
54043140400040
6245233143300
734221361662
oct7473304324
92566403730
101022200020
11485007006
122463bab30
13133a10aaa
1499a89c32
155eb19130
hex3ced88d4

1022200020 has 96 divisors (see below), whose sum is σ = 3223866240. Its totient is φ = 268842240.

The previous prime is 1022200009. The next prime is 1022200037. The reversal of 1022200020 is 200022201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1022199975 and 1022200011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26455 + ... + 52385.

It is an arithmetic number, because the mean of its divisors is an integer number (33581940).

Almost surely, 21022200020 is an apocalyptic number.

1022200020 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 1022200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611933120).

1022200020 is an abundant number, since it is smaller than the sum of its proper divisors (2201666220).

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

1022200020 is a wasteful number, since it uses less digits than its factorization.

1022200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26022 (or 26014 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1022200020 is about 31971.8629422810. The cubic root of 1022200020 is about 1007.3459121076.

Adding to 1022200020 its reverse (200022201), we get a palindrome (1222222221).

The spelling of 1022200020 in words is "one billion, twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 90 108 135 146 180 219 270 292 365 438 540 657 730 876 1095 1314 1460 1971 2190 2628 3285 3942 4380 6570 7884 9855 13140 19710 25931 39420 51862 77793 103724 129655 155586 233379 259310 311172 388965 466758 518620 700137 777930 933516 1166895 1400274 1555860 1892963 2333790 2800548 3500685 3785926 4667580 5678889 7001370 7571852 9464815 11357778 14002740 17036667 18929630 22715556 28394445 34073334 37859260 51110001 56788890 68146668 85183335 102220002 113577780 170366670 204440004 255550005 340733340 511100010 1022200020