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220377105 = 34513192203
BaseRepresentation
bin11010010001010…
…11000000010001
3120100200022120000
431020223000101
5422404031410
633511240213
75314113564
oct1510530021
9510608500
10220377105
11103440643
1261979069
1336870270
14213a84db
1514531dc0
hexd22b011

220377105 has 80 divisors (see below), whose sum is σ = 448029120. Its totient is φ = 102736512.

The previous prime is 220377077. The next prime is 220377139. The reversal of 220377105 is 501773022.

It is not a de Polignac number, because 220377105 - 210 = 220376081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98934 + ... + 101136.

It is an arithmetic number, because the mean of its divisors is an integer number (5600364).

Almost surely, 2220377105 is an apocalyptic number.

It is an amenable number.

220377105 is an abundant number, since it is smaller than the sum of its proper divisors (227652015).

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

220377105 is a wasteful number, since it uses less digits than its factorization.

220377105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 220377105 is about 14845.1037382701. The cubic root of 220377105 is about 604.0258027733.

The spelling of 220377105 in words is "two hundred twenty million, three hundred seventy-seven thousand, one hundred five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 81 95 117 135 171 195 247 285 351 405 513 585 741 855 1053 1235 1539 1755 2203 2223 2565 3705 5265 6609 6669 7695 11015 11115 19827 20007 28639 33045 33345 41857 59481 85917 99135 100035 125571 143195 178443 209285 257751 297405 376713 429585 544141 627855 773253 892215 1130139 1288755 1632423 1883565 2319759 2720705 3390417 3866265 4897269 5650695 8162115 11598795 14691807 16952085 24486345 44075421 73459035 220377105