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2390200 = 2352171937
BaseRepresentation
bin1001000111100010111000
311111102201221
421013202320
51102441300
6123121424
726213341
oct11074270
94442657
102390200
11139287a
12973274
13658c27
144630c8
1532331a
hex2478b8

2390200 has 96 divisors (see below), whose sum is σ = 6361200. Its totient is φ = 829440.

The previous prime is 2390197. The next prime is 2390207. The reversal of 2390200 is 20932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2390207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64582 + ... + 64618.

22390200 is an apocalyptic number.

2390200 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 2390200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180600).

2390200 is an abundant number, since it is smaller than the sum of its proper divisors (3971000).

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

2390200 is a wasteful number, since it uses less digits than its factorization.

2390200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2390200 is about 1546.0271666436. The cubic root of 2390200 is about 133.7041068855.

The spelling of 2390200 in words is "two million, three hundred ninety thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 19 20 25 34 37 38 40 50 68 74 76 85 95 100 136 148 152 170 185 190 200 296 323 340 370 380 425 475 629 646 680 703 740 760 850 925 950 1258 1292 1406 1480 1615 1700 1850 1900 2516 2584 2812 3145 3230 3400 3515 3700 3800 5032 5624 6290 6460 7030 7400 8075 11951 12580 12920 14060 15725 16150 17575 23902 25160 28120 31450 32300 35150 47804 59755 62900 64600 70300 95608 119510 125800 140600 239020 298775 478040 597550 1195100 2390200