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1020223020 = 223531896163
BaseRepresentation
bin111100110011110…
…101111000101100
32122002201200212210
4330303311320230
54042134114040
6245122530420
734165516065
oct7463657054
92562650783
101020223020
11483986723
12245806a10
1313349ac7b
14996d356c
155e878480
hex3ccf5e2c

1020223020 has 96 divisors (see below), whose sum is σ = 2982389760. Its totient is φ = 260282880.

The previous prime is 1020223007. The next prime is 1020223021. The reversal of 1020223020 is 203220201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1020222987 and 1020223005.

It is not an unprimeable number, because it can be changed into a prime (1020223021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162459 + ... + 168621.

It is an arithmetic number, because the mean of its divisors is an integer number (31066560).

Almost surely, 21020223020 is an apocalyptic number.

1020223020 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 1020223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491194880).

1020223020 is an abundant number, since it is smaller than the sum of its proper divisors (1962166740).

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

1020223020 is a wasteful number, since it uses less digits than its factorization.

1020223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1020223020 is about 31940.9301680461. The cubic root of 1020223020 is about 1006.6960692453.

Adding to 1020223020 its reverse (203220201), we get a palindrome (1223443221).

The spelling of 1020223020 in words is "one billion, twenty million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 89 93 124 155 178 186 267 310 356 372 445 465 534 620 890 930 1068 1335 1780 1860 2670 2759 5340 5518 6163 8277 11036 12326 13795 16554 18489 24652 27590 30815 33108 36978 41385 55180 61630 73956 82770 92445 123260 165540 184890 191053 369780 382106 548507 573159 764212 955265 1097014 1146318 1645521 1910530 2194028 2292636 2742535 2865795 3291042 3821060 5485070 5731590 6582084 8227605 10970140 11463180 16455210 17003717 32910420 34007434 51011151 68014868 85018585 102022302 170037170 204044604 255055755 340074340 510111510 1020223020