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2164470 = 235711937
BaseRepresentation
bin1000010000011011110110
311001222002120
420100123312
51023230340
6114220410
724253260
oct10203366
94058076
102164470
111249220
12884706
135aa269
14404b30
152cb4d0
hex2106f6

2164470 has 64 divisors (see below), whose sum is σ = 6483456. Its totient is φ = 449280.

The previous prime is 2164453. The next prime is 2164471. The reversal of 2164470 is 744612.

It is a self number, because there is not a number n which added to its sum of digits gives 2164470.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1842 + ... + 2778.

It is an arithmetic number, because the mean of its divisors is an integer number (101304).

22164470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241728).

2164470 is an abundant number, since it is smaller than the sum of its proper divisors (4318986).

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

2164470 is a wasteful number, since it uses less digits than its factorization.

2164470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2164470 is about 1471.2137846010. The cubic root of 2164470 is about 129.3551896200.

The spelling of 2164470 in words is "two million, one hundred sixty-four thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 937 1155 1874 2310 2811 4685 5622 6559 9370 10307 13118 14055 19677 20614 28110 30921 32795 39354 51535 61842 65590 72149 98385 103070 144298 154605 196770 216447 309210 360745 432894 721490 1082235 2164470