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2227884612100 = 225272213232
BaseRepresentation
bin100000011010111000010…
…001010101101000000100
321212222120002221121011121
4200122320101111220010
5243000201430041400
64423250455043324
7316650025514200
oct40327021255004
97788502847147
102227884612100
11789927867854
122bb942070544
1313211c900704
1479b8a085b00
153ce444c421a
hex206b8455a04

2227884612100 has 81 divisors (see below), whose sum is σ = 5624081055957. Its totient is φ = 763810330080.

The previous prime is 2227884612049. The next prime is 2227884612101. The reversal of 2227884612100 is 12164887222.

The square root of 2227884612100 is 1492610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 802038460356 + 1425846151744 = 895566^2 + 1194088^2 .

It is not an unprimeable number, because it can be changed into a prime (2227884612101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104472039 + ... + 104493361.

Almost surely, 22227884612100 is an apocalyptic number.

2227884612100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2227884612100 is the 1492610-th square number.

It is an amenable number.

2227884612100 is an abundant number, since it is smaller than the sum of its proper divisors (3396196443857).

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

2227884612100 is an frugal number, since it uses more digits than its factorization.

2227884612100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42674 (or 21337 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 2227884612100 in words is "two trillion, two hundred twenty-seven billion, eight hundred eighty-four million, six hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 21323 42646 85292 106615 149261 213230 298522 426460 533075 597044 746305 1044827 1066150 1492610 2089654 2132300 2985220 3731525 4179308 5224135 7463050 10448270 14926100 20896540 26120675 52241350 104482700 454670329 909340658 1818681316 2273351645 3182692303 4546703290 6365384606 9093406580 11366758225 12730769212 15913461515 22278846121 22733516450 31826923030 44557692242 45467032900 63653846060 79567307575 89115384484 111394230605 159134615150 222788461210 318269230300 445576922420 556971153025 1113942306050 2227884612100