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2232468 = 223372953
BaseRepresentation
bin1000100001000010010100
311012102101000
420201002110
51032414333
6115503300
724655440
oct10410224
94172330
102232468
111295317
128b7b30
136021b4
14421820
152e1713
hex221094

2232468 has 48 divisors (see below), whose sum is σ = 6616960. Its totient is φ = 637632.

The previous prime is 2232463. The next prime is 2232487. The reversal of 2232468 is 8642322.

It is a super-3 number, since 3×22324683 = 33379281346749621696, which contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232463) 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, 721 + ... + 2232.

22232468 is an apocalyptic number.

2232468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2232468 is an abundant number, since it is smaller than the sum of its proper divisors (4384492).

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

2232468 is a wasteful number, since it uses less digits than its factorization.

2232468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2965 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2232468 is about 1494.1445713183. The cubic root of 2232468 is about 130.6958349202.

The spelling of 2232468 in words is "two million, two hundred thirty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 2953 5906 8859 11812 17718 20671 26577 35436 41342 53154 62013 79731 82684 106308 124026 159462 186039 248052 318924 372078 558117 744156 1116234 2232468