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212202223000 = 23533138917597
BaseRepresentation
bin1100010110100000111…
…1001111010110011000
3202021201201220211122121
43011220033033112120
511434042232114000
6241252342031024
721221366064115
oct3055017172630
9667651824577
10212202223000
1181aa3693a19
1235162118474
131701a338a81
14a3b08dd90c
1557be83cb1a
hex31683cf598

212202223000 has 128 divisors (see below), whose sum is σ = 513917913600. Its totient is φ = 81926976000.

The previous prime is 212202222997. The next prime is 212202223021. The reversal of 212202223000 is 322202212.

212202223000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122022230002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12050202 + ... + 12067798.

It is an arithmetic number, because the mean of its divisors is an integer number (4014983700).

Almost surely, 2212202223000 is an apocalyptic number.

212202223000 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 212202223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256958956800).

212202223000 is an abundant number, since it is smaller than the sum of its proper divisors (301715690600).

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

212202223000 is a wasteful number, since it uses less digits than its factorization.

212202223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18038 (or 18024 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 212202223000 its reverse (322202212), we get a palindrome (212524425212).

The spelling of 212202223000 in words is "two hundred twelve billion, two hundred two million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 389 500 620 775 778 1000 1240 1550 1556 1945 3100 3112 3875 3890 6200 7750 7780 9725 12059 15500 15560 17597 19450 24118 31000 35194 38900 48236 48625 60295 70388 77800 87985 96472 97250 120590 140776 175970 194500 241180 301475 351940 389000 439925 482360 545507 602950 703880 879850 1091014 1205900 1507375 1759700 2182028 2199625 2411800 2727535 3014750 3519400 4364056 4399250 5455070 6029500 6845233 8798500 10910140 12059000 13637675 13690466 17597000 21820280 27275350 27380932 34226165 54550700 54761864 68188375 68452330 109101400 136376750 136904660 171130825 212202223 272753500 273809320 342261650 424404446 545507000 684523300 848808892 855654125 1061011115 1369046600 1697617784 1711308250 2122022230 3422616500 4244044460 5305055575 6845233000 8488088920 10610111150 21220222300 26525277875 42440444600 53050555750 106101111500 212202223000