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201224220340 = 2251113225721059
BaseRepresentation
bin1011101101100111100…
…1011110111010110100
3201020101122212112002111
42323121321132322310
511244101400022330
6232235141220404
720352344436343
oct2733171367264
9636348775074
10201224220340
117837a910050
1232bb9701704
1315c8ab43a00
149a4c917b5a
15537ab9632a
hex2ed9e5eeb4

201224220340 has 144 divisors (see below), whose sum is σ = 501140727360. Its totient is φ = 67277783040.

The previous prime is 201224220299. The next prime is 201224220347. The reversal of 201224220340 is 43022422102.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201224220347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9544731 + ... + 9565789.

It is an arithmetic number, because the mean of its divisors is an integer number (3480143940).

Almost surely, 2201224220340 is an apocalyptic number.

201224220340 is a gapful number since it is divisible by the number (20) 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 201224220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250570363680).

201224220340 is an abundant number, since it is smaller than the sum of its proper divisors (299916507020).

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

201224220340 is a wasteful number, since it uses less digits than its factorization.

201224220340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21362 (or 21347 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 201224220340 its reverse (43022422102), we get a palindrome (244246642442).

The spelling of 201224220340 in words is "two hundred one billion, two hundred twenty-four million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 169 220 257 260 286 338 514 572 676 715 845 1028 1285 1430 1690 1859 2570 2827 2860 3341 3380 3718 5140 5654 6682 7436 9295 11308 13364 14135 16705 18590 21059 28270 33410 36751 37180 42118 43433 56540 66820 73502 84236 86866 105295 147004 173732 183755 210590 217165 231649 273767 367510 421180 434330 463298 477763 547534 735020 868660 926596 955526 1095068 1158245 1368835 1911052 2316490 2388815 2737670 3011437 3558971 4632980 4777630 5412163 5475340 6022874 7117942 9555260 10824326 12045748 14235884 15057185 17794855 21648652 27060815 30114370 35589710 39148681 54121630 59533793 60228740 70358119 71179420 78297362 108243260 119067586 140716238 156594724 195743405 238135172 281432476 297668965 351790595 391486810 595337930 703581190 773939309 782973620 914655547 1190675860 1407162380 1547878618 1829311094 3095757236 3658622188 3869696545 4573277735 7739393090 9146555470 10061211017 15478786180 18293110940 20122422034 40244844068 50306055085 100612110170 201224220340