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2092272 = 243713479
BaseRepresentation
bin111111110110011110000
310221022001120
413332303300
51013423042
6112502240
723532630
oct7766360
93838046
102092272
1111a9a56
1284a980
13583440
143c66c0
152b4dec
hex1fecf0

2092272 has 80 divisors (see below), whose sum is σ = 6666240. Its totient is φ = 550656.

The previous prime is 2092249. The next prime is 2092273. The reversal of 2092272 is 2722902.

2092272 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2092273) 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, 4129 + ... + 4607.

It is an arithmetic number, because the mean of its divisors is an integer number (83328).

22092272 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 2092272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333120).

2092272 is an abundant number, since it is smaller than the sum of its proper divisors (4573968).

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

2092272 is a wasteful number, since it uses less digits than its factorization.

2092272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2092272 is about 1446.4688036733. The cubic root of 2092272 is about 127.9006390361.

2092272 divided by its sum of digits (24) gives a palindrome (87178).

The spelling of 2092272 in words is "two million, ninety-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 479 546 624 728 958 1092 1437 1456 1916 2184 2874 3353 3832 4368 5748 6227 6706 7664 10059 11496 12454 13412 18681 20118 22992 24908 26824 37362 40236 43589 49816 53648 74724 80472 87178 99632 130767 149448 160944 174356 261534 298896 348712 523068 697424 1046136 2092272