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212230002000 = 2435337955991
BaseRepresentation
bin1100010110100111100…
…1001101010101010000
3202021210200012011021110
43011221321031111100
511434121340031000
6241255213253320
721222154152342
oct3055171152520
9667720164243
10212230002000
1182008337775
123516b494240
1317023013b53
14a3b4491292
1557c1ec8850
hex3169e4d550

212230002000 has 160 divisors (see below), whose sum is σ = 702722951424. Its totient is φ = 55065024000.

The previous prime is 212230001989. The next prime is 212230002001. The reversal of 212230002000 is 200032212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212230002001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255996 + ... + 699995.

Almost surely, 2212230002000 is an apocalyptic number.

212230002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212230002000 is an abundant number, since it is smaller than the sum of its proper divisors (490492949424).

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

212230002000 is a wasteful number, since it uses less digits than its factorization.

212230002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956054 (or 956038 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 212230002000 its reverse (200032212), we get a palindrome (212430034212).

The spelling of 212230002000 in words is "two hundred twelve billion, two hundred thirty million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1000 1110 1200 1480 1500 1776 1850 2000 2220 2775 2960 3000 3700 4440 4625 5550 6000 7400 8880 9250 11100 13875 14800 18500 22200 27750 37000 44400 55500 74000 111000 222000 955991 1911982 2867973 3823964 4779955 5735946 7647928 9559910 11471892 14339865 15295856 19119820 22943784 23899775 28679730 35371667 38239640 45887568 47799550 57359460 70743334 71699325 76479280 95599100 106115001 114718920 119498875 141486668 143398650 176858335 191198200 212230002 229437840 238997750 282973336 286797300 353716670 358496625 382396400 424460004 477995500 530575005 565946672 573594600 707433340 716993250 848920008 884291675 955991000 1061150010 1147189200 1414866680 1433986500 1697840016 1768583350 1911982000 2122300020 2652875025 2829733360 2867973000 3537166700 4244600040 4421458375 5305750050 5735946000 7074333400 8489200080 8842916750 10611500100 13264375125 14148666800 17685833500 21223000200 26528750250 35371667000 42446000400 53057500500 70743334000 106115001000 212230002000