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214226621532 = 223372113680111
BaseRepresentation
bin1100011110000011100…
…1101101010001011100
3202110221211011221101000
43013200321231101130
512002214003342112
6242225255550300
721322510144500
oct3074071552134
9673854157330
10214226621532
1182942385560
123562808b390
1317280876621
14a52370a300
15588c41e7dc
hex31e0e6d45c

214226621532 has 144 divisors (see below), whose sum is σ = 704815050240. Its totient is φ = 55643263200.

The previous prime is 214226621527. The next prime is 214226621579. The reversal of 214226621532 is 235126622412.

214226621532 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 26 + 621 + 5 + 3 + 2 = 666.

214226621532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1781844 + ... + 1898267.

It is an arithmetic number, because the mean of its divisors is an integer number (4894548960).

Almost surely, 2214226621532 is an apocalyptic number.

214226621532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214226621532 is an abundant number, since it is smaller than the sum of its proper divisors (490588428708).

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

214226621532 is a wasteful number, since it uses less digits than its factorization.

214226621532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680149 (or 3680134 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 214226621532 in words is "two hundred fourteen billion, two hundred twenty-six million, six hundred twenty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 126 132 147 154 189 196 198 231 252 294 297 308 378 396 441 462 539 588 594 693 756 882 924 1078 1188 1323 1386 1617 1764 2079 2156 2646 2772 3234 4158 4851 5292 6468 8316 9702 14553 19404 29106 58212 3680111 7360222 11040333 14720444 22080666 25760777 33120999 40481221 44161332 51521554 66241998 77282331 80962442 99362997 103043108 121443663 132483996 154564662 161924884 180325439 198725994 231846993 242887326 283368547 309129324 360650878 364330989 397451988 463693986 485774652 540976317 566737094 695540979 721301756 728661978 850105641 927387972 1081952634 1092992967 1133474188 1391081958 1457323956 1622928951 1700211282 1983579829 2163905268 2185985934 2550316923 2782163916 3245857902 3400422564 3967159658 4371971868 4868786853 5100633846 5950739487 6491715804 7650950769 7934319316 9737573706 10201267692 11901478974 15301901538 17852218461 19475147412 23802957948 30603803076 35704436922 53556655383 71408873844 107113310766 214226621532