Search a number
-
+
2201490 = 232561401
BaseRepresentation
bin1000011001011110010010
311010211212200
420121132102
51030421430
6115104030
724466224
oct10313622
94124780
102201490
111274015
128a2016
135c1075
14414414
152d7460
hex219792

2201490 has 48 divisors (see below), whose sum is σ = 5832216. Its totient is φ = 576000.

The previous prime is 2201489. The next prime is 2201501. The reversal of 2201490 is 941022.

2201490 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 1830609 + 370881 = 1353^2 + 609^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 5290 + ... + 5690.

22201490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916108).

2201490 is an abundant number, since it is smaller than the sum of its proper divisors (3630726).

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

2201490 is a wasteful number, since it uses less digits than its factorization.

2201490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2201490 is about 1483.7418913005. The cubic root of 2201490 is about 130.0884998962.

The spelling of 2201490 in words is "two million, two hundred one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 401 549 610 802 915 1098 1203 1830 2005 2406 2745 3609 4010 5490 6015 7218 12030 18045 24461 36090 48922 73383 122305 146766 220149 244610 366915 440298 733830 1100745 2201490