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2272464 = 243243367
BaseRepresentation
bin1000101010110011010000
311021110020100
420222303100
51040204324
6120412400
725213155
oct10526320
94243210
102272464
111312377
12917100
1361746c
1443222c
152ed4c9
hex22acd0

2272464 has 60 divisors (see below), whose sum is σ = 6525376. Its totient is φ = 737856.

The previous prime is 2272463. The next prime is 2272471. The reversal of 2272464 is 4642722.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6009 + ... + 6375.

22272464 is an apocalyptic number.

2272464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262688).

2272464 is an abundant number, since it is smaller than the sum of its proper divisors (4252912).

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

2272464 is a wasteful number, since it uses less digits than its factorization.

2272464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 415 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 2272464 is about 1507.4694026746. The cubic root of 2272464 is about 131.4717177631.

The spelling of 2272464 in words is "two million, two hundred seventy-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 367 387 516 688 734 774 1032 1101 1468 1548 2064 2202 2936 3096 3303 4404 5872 6192 6606 8808 13212 15781 17616 26424 31562 47343 52848 63124 94686 126248 142029 189372 252496 284058 378744 568116 757488 1136232 2272464