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2290420 = 2251129359
BaseRepresentation
bin1000101111001011110100
311022100212101
420233023310
51041243140
6121031444
725316416
oct10571364
94270771
102290420
111324910
12925584
136226a2
144389b6
1530399a
hex22f2f4

2290420 has 48 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 801920.

The previous prime is 2290403. The next prime is 2290423. The reversal of 2290420 is 240922.

It is a happy number.

It is a super-3 number, since 3×22904203 = 36046793333826264000, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290423) 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, 6201 + ... + 6559.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22290420 is an apocalyptic number.

2290420 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 2290420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2290420 is an abundant number, since it is smaller than the sum of its proper divisors (3152780).

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

2290420 is a wasteful number, since it uses less digits than its factorization.

2290420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2290420 is about 1513.4133605859. The cubic root of 2290420 is about 131.8170867203.

The spelling of 2290420 in words is "two million, two hundred ninety thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 359 580 638 718 1276 1436 1595 1795 3190 3590 3949 6380 7180 7898 10411 15796 19745 20822 39490 41644 52055 78980 104110 114521 208220 229042 458084 572605 1145210 2290420