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2242251 = 321122971
BaseRepresentation
bin1000100011011011001011
311012220210100
420203123023
51033223001
6120020443
725026114
oct10433313
94186710
102242251
1112a1700
12901723
1360679b
1442520b
152e4586
hex2236cb

2242251 has 36 divisors (see below), whose sum is σ = 3734640. Its totient is φ = 1293600.

The previous prime is 2242231. The next prime is 2242277. The reversal of 2242251 is 1522422.

2242251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2242251 - 26 = 2242187 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242211) 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 35 ways as a sum of consecutive naturals, for example, 31546 + ... + 31616.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

22242251 is an apocalyptic number.

2242251 is a deficient number, since it is larger than the sum of its proper divisors (1492389).

2242251 is a wasteful number, since it uses less digits than its factorization.

2242251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 2242251 is about 1497.4147721991. The cubic root of 2242251 is about 130.8864661290.

Adding to 2242251 its reverse (1522422), we get a palindrome (3764673).

The spelling of 2242251 in words is "two million, two hundred forty-two thousand, two hundred fifty-one".

Divisors: 1 3 9 11 29 33 71 87 99 121 213 261 319 363 639 781 957 1089 2059 2343 2871 3509 6177 7029 8591 10527 18531 22649 25773 31581 67947 77319 203841 249139 747417 2242251