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2200242 = 2311173753
BaseRepresentation
bin1000011001001010110010
311010210011110
420121022302
51030401432
6115054150
724462462
oct10311262
94123143
102200242
111273090
128a1356
135c0625
14413ba2
152d6dcc
hex2192b2

2200242 has 64 divisors (see below), whose sum is σ = 5318784. Its totient is φ = 599040.

The previous prime is 2200217. The next prime is 2200277. The reversal of 2200242 is 2420022.

It is a happy number.

2200242 is a modest number, since divided by 242 gives 220 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41488 + ... + 41540.

It is an arithmetic number, because the mean of its divisors is an integer number (83106).

22200242 is an apocalyptic number.

2200242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659392).

2200242 is an abundant number, since it is smaller than the sum of its proper divisors (3118542).

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

2200242 is a wasteful number, since it uses less digits than its factorization.

2200242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123.

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2200242 is about 1483.3212733592. The cubic root of 2200242 is about 130.0639133456.

Adding to 2200242 its reverse (2420022), we get a palindrome (4620264).

It can be divided in two parts, 2200 and 242, that added together give a palindrome (2442).

The spelling of 2200242 in words is "two million, two hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 37 51 53 66 74 102 106 111 159 187 222 318 374 407 561 583 629 814 901 1122 1166 1221 1258 1749 1802 1887 1961 2442 2703 3498 3774 3922 5406 5883 6919 9911 11766 13838 19822 20757 21571 29733 33337 41514 43142 59466 64713 66674 100011 129426 200022 366707 733414 1100121 2200242