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188221204980 = 2235547898087
BaseRepresentation
bin1010111101001011011…
…0111010100111110100
3122222211110101220100000
42233102312322213310
511040434112024410
6222245001351300
716412203562514
oct2572266724764
9588743356300
10188221204980
1172907a66166
123058aa98530
1314997c57693
149177a05844
154d6934adc0
hex2bd2dba9f4

188221204980 has 144 divisors (see below), whose sum is σ = 592280357760. Its totient is φ = 50175635328.

The previous prime is 188221204939. The next prime is 188221204981. The reversal of 188221204980 is 89402122881.

188221204980 is a `hidden beast` number, since 18 + 8 + 22 + 120 + 498 + 0 = 666.

188221204980 is digitally balanced in base 3, 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188221204981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23270497 + ... + 23278583.

It is an arithmetic number, because the mean of its divisors is an integer number (4113058040).

Almost surely, 2188221204980 is an apocalyptic number.

188221204980 is a gapful number since it is divisible by the number (10) 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 188221204980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296140178880).

188221204980 is an abundant number, since it is smaller than the sum of its proper divisors (404059152780).

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

188221204980 is a wasteful number, since it uses less digits than its factorization.

188221204980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12900 (or 12886 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 188221204980 in words is "one hundred eighty-eight billion, two hundred twenty-one million, two hundred four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4789 4860 8087 9578 14367 16174 19156 23945 24261 28734 32348 40435 43101 47890 48522 57468 71835 72783 80870 86202 95780 97044 121305 129303 143670 145566 161740 172404 215505 218349 242610 258606 287340 291132 363915 387909 431010 436698 485220 517212 646515 655047 727830 775818 862020 873396 1091745 1163727 1293030 1310094 1455660 1551636 1939545 1965141 2183490 2327454 2586060 2620188 3275235 3879090 3930282 4366980 4654908 5818635 6550470 7758180 7860564 9825705 11637270 13100940 19651410 23274540 38728643 39302820 77457286 116185929 154914572 193643215 232371858 348557787 387286430 464743716 580929645 697115574 774572860 1045673361 1161859290 1394231148 1742788935 2091346722 2323718580 3137020083 3485577870 4182693444 5228366805 6274040166 6971155740 9411060249 10456733610 12548080332 15685100415 18822120498 20913467220 31370200830 37644240996 47055301245 62740401660 94110602490 188221204980