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2251206 = 23347887
BaseRepresentation
bin1000100101100111000110
311020101002000
420211213012
51034014311
6120130130
725064166
oct10454706
94211060
102251206
1112a8401
12906946
1360a899
144285a6
152e7056
hex2259c6

2251206 has 32 divisors (see below), whose sum is σ = 5114880. Its totient is φ = 733608.

The previous prime is 2251201. The next prime is 2251211. The reversal of 2251206 is 6021522.

It is an interprime number because it is at equal distance from previous prime (2251201) and next prime (2251211).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251201) 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, 2095 + ... + 2981.

It is an arithmetic number, because the mean of its divisors is an integer number (159840).

22251206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557440).

2251206 is an abundant number, since it is smaller than the sum of its proper divisors (2863674).

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

2251206 is a wasteful number, since it uses less digits than its factorization.

2251206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2251206 is about 1500.4019461464. The cubic root of 2251206 is about 131.0604774852.

Adding to 2251206 its reverse (6021522), we get a palindrome (8272728).

It can be divided in two parts, 225 and 1206, that added together give a triangular number (1431 = T53).

The spelling of 2251206 in words is "two million, two hundred fifty-one thousand, two hundred six".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 887 1269 1774 2538 2661 5322 7983 15966 23949 41689 47898 83378 125067 250134 375201 750402 1125603 2251206