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214132303220 = 2251123194921713
BaseRepresentation
bin1100011101101101000…
…1111010010101110100
3202110201020201001222012
43013123101322111310
512002020332200340
6242212050223352
721320253355133
oct3073321722564
9673636631865
10214132303220
11828a4114840
1235600584b58
1317267171c84
14a514d9791a
155883edd565
hex31db47a574

214132303220 has 96 divisors (see below), whose sum is σ = 512172460800. Its totient is φ = 74439157760.

The previous prime is 214132303193. The next prime is 214132303277. The reversal of 214132303220 is 22303231412.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9851084 + ... + 9872796.

It is an arithmetic number, because the mean of its divisors is an integer number (5335129800).

Almost surely, 2214132303220 is an apocalyptic number.

214132303220 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 214132303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256086230400).

214132303220 is an abundant number, since it is smaller than the sum of its proper divisors (298040157580).

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

214132303220 is a wasteful number, since it uses less digits than its factorization.

214132303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23705 (or 23703 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 214132303220 its reverse (22303231412), we get a palindrome (236435534632).

The spelling of 214132303220 in words is "two hundred fourteen billion, one hundred thirty-two million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 1949 2530 3898 5060 7796 9745 19490 21439 21713 38980 42878 43426 44827 85756 86852 89654 107195 108565 179308 214390 217130 224135 238843 428780 434260 448270 477686 493097 499399 896540 955372 986194 998798 1194215 1972388 1997596 2388430 2465485 2496995 4776860 4930970 4993990 5493389 9861940 9987980 10986778 21973556 27466945 42318637 54933890 84637274 109867780 169274548 211593185 423186370 465505007 846372740 931010014 973328651 1862020028 1946657302 2327525035 3893314604 4655050070 4866643255 9310100140 9733286510 10706615161 19466573020 21413230322 42826460644 53533075805 107066151610 214132303220