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212413232000 = 275317780931
BaseRepresentation
bin1100010111010011010…
…0001011001110000000
3202022021102222012120202
43011310310023032000
511440010241411000
6241325320424332
721226540452524
oct3056464131600
9668242865522
10212413232000
11820a1806122
12352009180a8
1317051c78c78
14a3d0949d84
1557d311ddd5
hex3174d0b380

212413232000 has 128 divisors (see below), whose sum is σ = 559178549280. Its totient is φ = 79967232000.

The previous prime is 212413231967. The next prime is 212413232021. The reversal of 212413232000 is 232314212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2124132320002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118466 + ... + 662465.

Almost surely, 2212413232000 is an apocalyptic number.

212413232000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212413232000 is an abundant number, since it is smaller than the sum of its proper divisors (346765317280).

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

212413232000 is an equidigital number, since it uses as much as digits as its factorization.

212413232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780977 (or 780955 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212413232000 its reverse (232314212), we get a palindrome (212645546212).

The spelling of 212413232000 in words is "two hundred twelve billion, four hundred thirteen million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 272 320 340 400 425 500 544 640 680 800 850 1000 1088 1360 1600 1700 2000 2125 2176 2720 3200 3400 4000 4250 5440 6800 8000 8500 10880 13600 16000 17000 27200 34000 54400 68000 136000 272000 780931 1561862 3123724 3904655 6247448 7809310 12494896 13275827 15618620 19523275 24989792 26551654 31237240 39046550 49979584 53103308 62474480 66379135 78093100 97616375 99959168 106206616 124948960 132758270 156186200 195232750 212413232 249897920 265516540 312372400 331895675 390465500 424826464 499795840 531033080 624744800 663791350 780931000 849652928 1062066160 1249489600 1327582700 1561862000 1659478375 1699305856 2124132320 2498979200 2655165400 3123724000 3318956750 4248264640 5310330800 6247448000 6637913500 8496529280 10620661600 12494896000 13275827000 21241323200 26551654000 42482646400 53103308000 106206616000 212413232000