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1024412220 = 22325134310181
BaseRepresentation
bin111101000011110…
…100101000111100
32122101121112101100
4331003310220330
54044222142340
6245352413100
734246234356
oct7503645074
92571545340
101024412220
11486288077
122470a7190
131343069a0
149a0a40d6
155ee04830
hex3d0f4a3c

1024412220 has 144 divisors (see below), whose sum is σ = 3424573152. Its totient is φ = 246274560.

The previous prime is 1024412219. The next prime is 1024412239. The reversal of 1024412220 is 222144201.

1024412220 is a `hidden beast` number, since 1 + 0 + 2 + 441 + 2 + 220 = 666.

1024412220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1024412193 and 1024412202.

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, 95530 + ... + 105710.

It is an arithmetic number, because the mean of its divisors is an integer number (23781758).

Almost surely, 21024412220 is an apocalyptic number.

1024412220 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 1024412220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712286576).

1024412220 is an abundant number, since it is smaller than the sum of its proper divisors (2400160932).

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

1024412220 is a wasteful number, since it uses less digits than its factorization.

1024412220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10252 (or 10247 counting only the distinct ones).

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

The square root of 1024412220 is about 32006.4402894168. The cubic root of 1024412220 is about 1008.0720729834.

Adding to 1024412220 its reverse (222144201), we get a palindrome (1246556421).

The spelling of 1024412220 in words is "one billion, twenty-four million, four hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 43 45 52 60 65 78 86 90 117 129 130 156 172 180 195 215 234 258 260 387 390 430 468 516 559 585 645 774 780 860 1118 1170 1290 1548 1677 1935 2236 2340 2580 2795 3354 3870 5031 5590 6708 7740 8385 10062 10181 11180 16770 20124 20362 25155 30543 33540 40724 50310 50905 61086 91629 100620 101810 122172 132353 152715 183258 203620 264706 305430 366516 397059 437783 458145 529412 610860 661765 794118 875566 916290 1191177 1313349 1323530 1588236 1751132 1832580 1985295 2188915 2382354 2626698 2647060 3940047 3970590 4377830 4764708 5253396 5691179 5955885 6566745 7880094 7941180 8755660 11382358 11911770 13133490 15760188 17073537 19700235 22764716 23823540 26266980 28455895 34147074 39400470 51220611 56911790 68294148 78800940 85367685 102441222 113823580 170735370 204882444 256103055 341470740 512206110 1024412220