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1020022220 = 2257219291889
BaseRepresentation
bin111100110011000…
…100110111001100
32122002100111102202
4330303010313030
54042111202340
6245114341032
734164021500
oct7463046714
92562314382
101020022220
11483859878
1224572a778
1313342a759
1499680300
155e838c15
hex3ccc4dcc

1020022220 has 144 divisors (see below), whose sum is σ = 2714796000. Its totient is φ = 319721472.

The previous prime is 1020022189. The next prime is 1020022261. The reversal of 1020022220 is 222200201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539036 + ... + 540924.

It is an arithmetic number, because the mean of its divisors is an integer number (18852750).

Almost surely, 21020022220 is an apocalyptic number.

1020022220 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 1020022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357398000).

1020022220 is an abundant number, since it is smaller than the sum of its proper divisors (1694773780).

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

1020022220 is a wasteful number, since it uses less digits than its factorization.

1020022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1020022220 is about 31937.7867110418. The cubic root of 1020022220 is about 1006.6300190353.

Adding to 1020022220 its reverse (222200201), we get a palindrome (1242222421).

The spelling of 1020022220 in words is "one billion, twenty million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 29 35 38 49 58 70 76 95 98 116 133 140 145 190 196 203 245 266 290 380 406 490 532 551 580 665 812 931 980 1015 1102 1330 1421 1862 1889 2030 2204 2660 2755 2842 3724 3778 3857 4060 4655 5510 5684 7105 7556 7714 9310 9445 11020 13223 14210 15428 18620 18890 19285 26446 26999 28420 35891 37780 38570 52892 53998 54781 66115 71782 77140 92561 107996 109562 132230 134995 143564 179455 185122 219124 251237 264460 269990 273905 358910 370244 383467 462805 502474 539980 547810 717820 766934 925610 1004948 1040839 1095620 1256185 1533868 1758659 1851220 1917335 2081678 2512370 2684269 3517318 3834670 4163356 5024740 5204195 5368538 7034636 7285873 7669340 8793295 10408390 10737076 13421345 14571746 17586590 20816780 26842690 29143492 35173180 36429365 51001111 53685380 72858730 102002222 145717460 204004444 255005555 510011110 1020022220