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2214264 = 2331347151
BaseRepresentation
bin1000011100100101111000
311011111101210
420130211320
51031324024
6115243120
724551403
oct10344570
94144353
102214264
111282678
128a94a0
135c6b20
14418d3a
152db129
hex21c978

2214264 has 64 divisors (see below), whose sum is σ = 6128640. Its totient is φ = 662400.

The previous prime is 2214257. The next prime is 2214269. The reversal of 2214264 is 4624122.

2214264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2214264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14589 + ... + 14739.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

22214264 is an apocalyptic number.

2214264 is a gapful number since it is divisible by the number (24) 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 2214264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064320).

2214264 is an abundant number, since it is smaller than the sum of its proper divisors (3914376).

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

2214264 is a wasteful number, since it uses less digits than its factorization.

2214264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 2214264 is about 1488.0403220343. The cubic root of 2214264 is about 130.3396247787.

Adding to 2214264 its reverse (4624122), we get a palindrome (6838386).

The spelling of 2214264 in words is "two million, two hundred fourteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 151 156 188 282 302 312 376 453 564 604 611 906 1128 1208 1222 1812 1833 1963 2444 3624 3666 3926 4888 5889 7097 7332 7852 11778 14194 14664 15704 21291 23556 28388 42582 47112 56776 85164 92261 170328 184522 276783 369044 553566 738088 1107132 2214264