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2032323020 = 225731321753
BaseRepresentation
bin111100100100010…
…1100100111001100
312020122011201001222
41321020230213030
513130233314040
6533355422512
7101235314000
oct17110544714
95218151058
102032323020
11953214402
12488754a38
13265083800
14153cb0700
15bd649bb5
hex7922c9cc

2032323020 has 144 divisors (see below), whose sum is σ = 5392497600. Its totient is φ = 642829824.

The previous prime is 2032323019. The next prime is 2032323023. The reversal of 2032323020 is 203232302.

It is a self number, because there is not a number n which added to its sum of digits gives 2032323020.

It is not an unprimeable number, because it can be changed into a prime (2032323023) 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, 1158464 + ... + 1160216.

It is an arithmetic number, because the mean of its divisors is an integer number (37447900).

Almost surely, 22032323020 is an apocalyptic number.

2032323020 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 2032323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696248800).

2032323020 is an abundant number, since it is smaller than the sum of its proper divisors (3360174580).

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

2032323020 is a wasteful number, since it uses less digits than its factorization.

2032323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 2032323020 is about 45081.2934597045. The cubic root of 2032323020 is about 1266.6722186583.

Adding to 2032323020 its reverse (203232302), we get a palindrome (2235555322).

The spelling of 2032323020 in words is "two billion, thirty-two million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 169 182 196 245 260 338 343 364 455 490 637 676 686 845 910 980 1183 1274 1372 1690 1715 1753 1820 2366 2548 3185 3380 3430 3506 4459 4732 5915 6370 6860 7012 8281 8765 8918 11830 12271 12740 16562 17530 17836 22295 22789 23660 24542 33124 35060 41405 44590 45578 49084 57967 61355 82810 85897 89180 91156 113945 115934 122710 159523 165620 171794 227890 231868 245420 289835 296257 319046 343588 429485 455780 579670 592514 601279 638092 797615 858970 1116661 1159340 1185028 1202558 1481285 1595230 1717940 2073799 2233322 2405116 2962570 3006395 3190460 4147598 4466644 5583305 5925140 6012790 7816627 8295196 10368995 11166610 12025580 14516593 15633254 20737990 22333220 29033186 31266508 39083135 41475980 58066372 72582965 78166270 101616151 145165930 156332540 203232302 290331860 406464604 508080755 1016161510 2032323020