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212022033000 = 23353191370021
BaseRepresentation
bin1100010101110101111…
…1110111101001101000
3202021021011212020102220
43011131133313221220
511433210120024000
6241222423554040
721214050354621
oct3053537675150
9667234766386
10212022033000
1181a10a01568
12351118bb920
1316cbbbc957b
14a3949d6a48
1557adae81a0
hex315d7f7a68

212022033000 has 128 divisors (see below), whose sum is σ = 664973936640. Its totient is φ = 56243040000.

The previous prime is 212022032987. The next prime is 212022033019. The reversal of 212022033000 is 330220212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387990 + ... + 758010.

It is an arithmetic number, because the mean of its divisors is an integer number (5195108880).

Almost surely, 2212022033000 is an apocalyptic number.

212022033000 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 212022033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332486968320).

212022033000 is an abundant number, since it is smaller than the sum of its proper divisors (452951903640).

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

212022033000 is a wasteful number, since it uses less digits than its factorization.

212022033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370236 (or 370222 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 212022033000 its reverse (330220212), we get a palindrome (212352253212).

The spelling of 212022033000 in words is "two hundred twelve billion, twenty-two million, thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 191 200 250 300 375 382 500 573 600 750 764 955 1000 1146 1500 1528 1910 2292 2865 3000 3820 4584 4775 5730 7640 9550 11460 14325 19100 22920 23875 28650 38200 47750 57300 71625 95500 114600 143250 191000 286500 370021 573000 740042 1110063 1480084 1850105 2220126 2960168 3700210 4440252 5550315 7400420 8880504 9250525 11100630 14800840 18501050 22201260 27751575 37002100 44402520 46252625 55503150 70674011 74004200 92505250 111006300 138757875 141348022 185010500 212022033 222012600 277515750 282696044 353370055 370021000 424044066 555031500 565392088 706740110 848088132 1060110165 1110063000 1413480220 1696176264 1766850275 2120220330 2826960440 3533700550 4240440660 5300550825 7067401100 8480881320 8834251375 10601101650 14134802200 17668502750 21202203300 26502754125 35337005500 42404406600 53005508250 70674011000 106011016500 212022033000