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2200272 = 243231993
BaseRepresentation
bin1000011001001011010000
311010210012120
420121023100
51030402042
6115054240
724462534
oct10311320
94123176
102200272
111273108
128a1380
135c0649
14413bc4
152d6dec
hex2192d0

2200272 has 40 divisors (see below), whose sum is σ = 5934144. Its totient is φ = 701184.

The previous prime is 2200217. The next prime is 2200277. The reversal of 2200272 is 2720022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108 + ... + 2100.

22200272 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 2200272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967072).

2200272 is an abundant number, since it is smaller than the sum of its proper divisors (3733872).

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

2200272 is a wasteful number, since it uses less digits than its factorization.

2200272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 2200272 is about 1483.3313857665. The cubic root of 2200272 is about 130.0645044775.

Adding to 2200272 its reverse (2720022), we get a palindrome (4920294).

The spelling of 2200272 in words is "two million, two hundred thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1993 3986 5979 7972 11958 15944 23916 31888 45839 47832 91678 95664 137517 183356 275034 366712 550068 733424 1100136 2200272