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2822472 = 233373179
BaseRepresentation
bin1010110001000101001000
312022101201000
422301011020
51210304342
6140255000
732663532
oct12610510
95271630
102822472
111658624
12b41460
1377a903
14536852
153ab44c
hex2b1148

2822472 has 64 divisors (see below), whose sum is σ = 7992000. Its totient is φ = 922752.

The previous prime is 2822461. The next prime is 2822473. The reversal of 2822472 is 2742282.

2822472 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (2822473) 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, 15679 + ... + 15857.

It is an arithmetic number, because the mean of its divisors is an integer number (124875).

22822472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2822472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996000).

2822472 is an abundant number, since it is smaller than the sum of its proper divisors (5169528).

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

2822472 is a wasteful number, since it uses less digits than its factorization.

2822472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 2822472 is about 1680.0214284348. The cubic root of 2822472 is about 141.3220344197.

It can be divided in two parts, 28 and 22472, that added together give a square (22500 = 1502).

The spelling of 2822472 in words is "two million, eight hundred twenty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 179 216 219 292 358 438 537 584 657 716 876 1074 1314 1432 1611 1752 1971 2148 2628 3222 3942 4296 4833 5256 6444 7884 9666 12888 13067 15768 19332 26134 38664 39201 52268 78402 104536 117603 156804 235206 313608 352809 470412 705618 940824 1411236 2822472