Search a number
-
+
2210855892 = 223733117327
BaseRepresentation
bin1000001111000110…
…1111101111010100
312201002010010010120
42003301233233110
514011434342032
61003214151540
7105533652000
oct20361575724
95632103116
102210855892
11a34a74833
125184b25b0
1329306296b
1416d8a5700
15ce16362c
hex83c6fbd4

2210855892 has 96 divisors (see below), whose sum is σ = 6210355200. Its totient is φ = 611261280.

The previous prime is 2210855869. The next prime is 2210855893. The reversal of 2210855892 is 2985580122.

It is a super-2 number, since 2×22108558922 = 9775767550382231328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210855893) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118933 + ... + 136259.

It is an arithmetic number, because the mean of its divisors is an integer number (64691200).

Almost surely, 22210855892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210855892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105177600).

2210855892 is an abundant number, since it is smaller than the sum of its proper divisors (3999499308).

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

2210855892 is a wasteful number, since it uses less digits than its factorization.

2210855892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17386 (or 17370 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 2210855892 is about 47019.7393867724. The cubic root of 2210855892 is about 1302.7271923396.

The spelling of 2210855892 in words is "two billion, two hundred ten million, eight hundred fifty-five thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 343 372 434 588 651 686 868 1029 1302 1372 1519 2058 2604 3038 4116 4557 6076 9114 10633 17327 18228 21266 31899 34654 42532 51981 63798 69308 103962 121289 127596 207924 242578 363867 485156 537137 727734 849023 1074274 1455468 1611411 1698046 2148548 2547069 3222822 3396092 3759959 5094138 5943161 6445644 7519918 10188276 11279877 11886322 15039836 17829483 22559754 23772644 26319713 35658966 45119508 52639426 71317932 78959139 105278852 157918278 184237991 315836556 368475982 552713973 736951964 1105427946 2210855892