Search a number
-
+
2214215300 = 2252112315903
BaseRepresentation
bin1000001111111010…
…0011111010000100
312201022102210101002
42003332203322010
514013314342200
61003414152432
7105604343123
oct20376437204
95638383332
102214215300
11a36959800
12519652718
1329396aa8b
141700dbaba
15ce5c8bd5
hex83fa3e84

2214215300 has 108 divisors (see below), whose sum is σ = 5452651008. Its totient is φ = 779064000.

The previous prime is 2214215299. The next prime is 2214215323. The reversal of 2214215300 is 35124122.

2214215300 is digitally balanced in base 2, 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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 372149 + ... + 378051.

Almost surely, 22214215300 is an apocalyptic number.

2214215300 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 2214215300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726325504).

2214215300 is an abundant number, since it is smaller than the sum of its proper divisors (3238435708).

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

2214215300 is a wasteful number, since it uses less digits than its factorization.

2214215300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5970 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2214215300 is about 47055.4492062290. The cubic root of 2214215300 is about 1303.3866921870.

Adding to 2214215300 its reverse (35124122), we get a palindrome (2249339422).

The spelling of 2214215300 in words is "two billion, two hundred fourteen million, two hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 121 124 155 220 242 275 310 341 484 550 605 620 682 775 1100 1210 1364 1550 1705 2420 3025 3100 3410 3751 5903 6050 6820 7502 8525 11806 12100 15004 17050 18755 23612 29515 34100 37510 59030 64933 75020 93775 118060 129866 147575 182993 187550 259732 295150 324665 365986 375100 590300 649330 714263 731972 914965 1298660 1428526 1623325 1829930 2012923 2857052 3246650 3571315 3659860 4025846 4574825 6493300 7142630 8051692 9149650 10064615 14285260 17856575 18299300 20129230 22142153 35713150 40258460 44284306 50323075 71426300 88568612 100646150 110710765 201292300 221421530 442843060 553553825 1107107650 2214215300