Search a number
-
+
2214150 = 235229509
BaseRepresentation
bin1000011100100100000110
311011111020120
420130210012
51031323100
6115242410
724551151
oct10344406
94144216
102214150
111282584
128a9406
135c6a63
14418c98
152db0a0
hex21c906

2214150 has 48 divisors (see below), whose sum is σ = 5691600. Its totient is φ = 568960.

The previous prime is 2214137. The next prime is 2214161. The reversal of 2214150 is 514122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4096 + ... + 4604.

It is an arithmetic number, because the mean of its divisors is an integer number (118575).

22214150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845800).

2214150 is an abundant number, since it is smaller than the sum of its proper divisors (3477450).

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

2214150 is a wasteful number, since it uses less digits than its factorization.

2214150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2214150 is about 1488.0020161277. The cubic root of 2214150 is about 130.3373879222.

Adding to 2214150 its reverse (514122), we get a palindrome (2728272).

It can be divided in two parts, 221 and 4150, that added together give a triangular number (4371 = T93).

The spelling of 2214150 in words is "two million, two hundred fourteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 145 150 174 290 435 509 725 870 1018 1450 1527 2175 2545 3054 4350 5090 7635 12725 14761 15270 25450 29522 38175 44283 73805 76350 88566 147610 221415 369025 442830 738050 1107075 2214150