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213222535120520 = 235239712409192547
BaseRepresentation
bin110000011110110010111101…
…011101101100011010001000
31000221221212122002020000011122
4300132302331131230122020
5210421414222442324040
62033253025210014412
762624551122362102
oct6036627535543210
91027855562200148
10213222535120520
1161a37195414892
121bab7b57717408
1391c8a4cc190b3
143a920509a6572
15199b61a27d1b5
hexc1ecbd76c688

213222535120520 has 128 divisors (see below), whose sum is σ = 505813737542400. Its totient is φ = 80732831072256.

The previous prime is 213222535120519. The next prime is 213222535120547. The reversal of 213222535120520 is 25021535222312.

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, 1107282887 + ... + 1107475433.

It is an arithmetic number, because the mean of its divisors is an integer number (3951669824550).

Almost surely, 2213222535120520 is an apocalyptic number.

213222535120520 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 213222535120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252906868771200).

213222535120520 is an abundant number, since it is smaller than the sum of its proper divisors (292591202421880).

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

213222535120520 is a wasteful number, since it uses less digits than its factorization.

213222535120520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205087 (or 205083 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 213222535120520 in words is "two hundred thirteen trillion, two hundred twenty-two billion, five hundred thirty-five million, one hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 97 115 184 194 230 388 460 485 776 920 970 1940 2231 3880 4462 8924 11155 12409 17848 22310 24818 44620 49636 62045 89240 99272 124090 192547 248180 285407 385094 496360 570814 770188 962735 1141628 1203673 1427035 1540376 1925470 2283256 2407346 2854070 3850940 4428581 4814692 5708140 6018365 7701880 8857162 9629384 11416280 12036730 17714324 18677059 22142905 24073460 27684479 35428648 37354118 44285810 48146920 55368958 74708236 88571620 93385295 110737916 138422395 149416472 177143240 186770590 221475832 276844790 373541180 429572357 553689580 747082360 859144714 1107379160 1718289428 2147861785 2389315723 3436578856 4295723570 4778631446 8591447140 9557262892 11946578615 17182894280 19114525784 23893157230 47786314460 54954261629 95572628920 109908523258 219817046516 231763625131 274771308145 439634093032 463527250262 549542616290 927054500524 1099085232580 1158818125655 1854109001048 2198170465160 2317636251310 4635272502620 5330563378013 9270545005240 10661126756026 21322253512052 26652816890065 42644507024104 53305633780130 106611267560260 213222535120520