Search a number
-
+
2110322220 = 2235231679157
BaseRepresentation
bin111110111001000…
…1111011000101100
312110001221110212020
41331302033120230
513310220302340
6545223310140
7103203304626
oct17562173054
95401843766
102110322220
11993249356
124aa8ab350
13278293296
141603b5c16
15c54059d0
hex7dc8f62c

2110322220 has 96 divisors (see below), whose sum is σ = 6203409408. Its totient is φ = 535003392.

The previous prime is 2110322219. The next prime is 2110322233. The reversal of 2110322220 is 222230112.

It is a happy number.

2110322220 is digitally balanced in base 6, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2110322220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225882 + ... + 235038.

It is an arithmetic number, because the mean of its divisors is an integer number (64618848).

Almost surely, 22110322220 is an apocalyptic number.

2110322220 is a gapful number since it is divisible by the number (20) 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 2110322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101704704).

2110322220 is an abundant number, since it is smaller than the sum of its proper divisors (4093087188).

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

2110322220 is a wasteful number, since it uses less digits than its factorization.

2110322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9359 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2110322220 is about 45938.2435450029. The cubic root of 2110322220 is about 1282.6738984999.

Adding to 2110322220 its reverse (222230112), we get a palindrome (2332552332).

The spelling of 2110322220 in words is "two billion, one hundred ten million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 167 230 276 334 345 460 501 668 690 835 1002 1380 1670 2004 2505 3340 3841 5010 7682 9157 10020 11523 15364 18314 19205 23046 27471 36628 38410 45785 46092 54942 57615 76820 91570 109884 115230 137355 183140 210611 230460 274710 421222 549420 631833 842444 1053055 1263666 1529219 2106110 2527332 3058438 3159165 4212220 4587657 6116876 6318330 7646095 9175314 12636660 15292190 18350628 22938285 30584380 35172037 45876570 70344074 91753140 105516111 140688148 175860185 211032222 351720370 422064444 527580555 703440740 1055161110 2110322220