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212320230320 = 24511829291041
BaseRepresentation
bin1100010110111101000…
…1011001101110110000
3202022000221222020021002
43011233101121232300
511434312434332240
6241312155221132
721224331115562
oct3055721315660
9668027866232
10212320230320
1182054264630
12351957477a8
13170389159a3
14a3c245b332
1557c9d9cd15
hex316f459bb0

212320230320 has 80 divisors (see below), whose sum is σ = 539172767520. Its totient is φ = 77113958400.

The previous prime is 212320230307. The next prime is 212320230329. The reversal of 212320230320 is 23032023212.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 212320230292 and 212320230301.

It is not an unprimeable number, because it can be changed into a prime (212320230329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584000 + ... + 875040.

It is an arithmetic number, because the mean of its divisors is an integer number (6739659594).

Almost surely, 2212320230320 is an apocalyptic number.

212320230320 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 212320230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269586383760).

212320230320 is an abundant number, since it is smaller than the sum of its proper divisors (326852537200).

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

212320230320 is a wasteful number, since it uses less digits than its factorization.

212320230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291894 (or 291888 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 212320230320 its reverse (23032023212), we get a palindrome (235352253532).

The spelling of 212320230320 in words is "two hundred twelve billion, three hundred twenty million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 829 880 1658 3316 4145 6632 8290 9119 13264 16580 18238 33160 36476 45595 66320 72952 91190 145904 182380 291041 364760 582082 729520 1164164 1455205 2328328 2910410 3201451 4656656 5820820 6402902 11641640 12805804 16007255 23283280 25611608 32014510 51223216 64029020 128058040 241272989 256116080 482545978 965091956 1206364945 1930183912 2412729890 2654002879 3860367824 4825459780 5308005758 9650919560 10616011516 13270014395 19301839120 21232023032 26540028790 42464046064 53080057580 106160115160 212320230320