Search a number
-
+
220221020222100 = 223352102409796447
BaseRepresentation
bin110010000100101000110011…
…101011101011001010010100
31001212201220221112122011121000
4302010220303223223022110
5212331100122134101400
62100212050130023300
764246305114253662
oct6204506353531224
91055656845564530
10220221020222100
1164195234846567
1220848386117b30
1395b59a3737111
143c54a7b93bc32
151a6d6c298d600
hexc84a33aeb294

220221020222100 has 144 divisors (see below), whose sum is σ = 707977600422400. Its totient is φ = 58724958216960.

The previous prime is 220221020222083. The next prime is 220221020222111. The reversal of 220221020222100 is 1222020122022.

220221020222100 is a `hidden beast` number, since 2 + 20 + 221 + 0 + 202 + 221 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276106077 + ... + 276902523.

Almost surely, 2220221020222100 is an apocalyptic number.

220221020222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221020222100 is an abundant number, since it is smaller than the sum of its proper divisors (487756580200300).

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

220221020222100 is a wasteful number, since it uses less digits than its factorization.

220221020222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898879 (or 898866 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220221020222100 its reverse (1222020122022), we get a palindrome (221443040344122).

The spelling of 220221020222100 in words is "two hundred twenty trillion, two hundred twenty-one billion, twenty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 102409 204818 307227 409636 512045 614454 796447 921681 1024090 1228908 1536135 1592894 1843362 2048180 2389341 2560225 2765043 3072270 3185788 3686724 3982235 4608405 4778682 5120450 5530086 6144540 7168023 7680675 7964470 9216810 9557364 10240900 11060172 11946705 13825215 14336046 15361350 15928940 18433620 19911175 21504069 23042025 23893410 27650430 28672092 30722700 35840115 39822350 43008138 46084050 47786820 55300860 59733525 69126075 71680230 79644700 86016276 92168100 107520345 119467050 138252150 143360460 179200575 215040690 238934100 276504300 358401150 430081380 537601725 716802300 1075203450 2150406900 81563340823 163126681646 244690022469 326253363292 407816704115 489380044938 734070067407 815633408230 978760089876 1223450112345 1468140134814 1631266816460 2039083520575 2202210202221 2446900224690 2936280269628 3670350337035 4078167041150 4404420404442 4893800449380 6117250561725 7340700674070 8156334082300 8808840808884 11011051011105 12234501123450 14681401348140 18351751685175 22022102022210 24469002246900 36703503370350 44044204044420 55055255055525 73407006740700 110110510111050 220221020222100