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2251746 = 233722337
BaseRepresentation
bin1000100101101111100010
311020101211000
420211233202
51034023441
6120132430
725065600
oct10455742
94211730
102251746
1112a8852
12907116
1360abc3
14428870
152e72b6
hex225be2

2251746 has 96 divisors (see below), whose sum is σ = 6238080. Its totient is φ = 598752.

The previous prime is 2251741. The next prime is 2251771. The reversal of 2251746 is 6471522.

2251746 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2251741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60840 + ... + 60876.

It is an arithmetic number, because the mean of its divisors is an integer number (64980).

22251746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119040).

2251746 is an abundant number, since it is smaller than the sum of its proper divisors (3986334).

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

2251746 is a wasteful number, since it uses less digits than its factorization.

2251746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 2251746 is about 1500.5818871358. The cubic root of 2251746 is about 131.0709558688.

The spelling of 2251746 in words is "two million, two hundred fifty-one thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 37 42 46 49 54 63 69 74 98 111 126 138 147 161 189 207 222 259 294 322 333 378 414 441 483 518 621 666 777 851 882 966 999 1127 1242 1323 1449 1554 1702 1813 1998 2254 2331 2553 2646 2898 3381 3626 4347 4662 5106 5439 5957 6762 6993 7659 8694 10143 10878 11914 13986 15318 16317 17871 20286 22977 30429 32634 35742 41699 45954 48951 53613 60858 83398 97902 107226 125097 160839 250194 321678 375291 750582 1125873 2251746