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2123208 = 233237797
BaseRepresentation
bin1000000110010111001000
310222212111100
420012113020
51020420313
6113301400
724022053
oct10062710
93885440
102123208
11122021a
12864860
13594549
143d3a9a
152be173
hex2065c8

2123208 has 48 divisors (see below), whose sum is σ = 5913180. Its totient is φ = 687744.

The previous prime is 2123203. The next prime is 2123213. The reversal of 2123208 is 8023212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2123203) and next prime (2123213).

It can be written as a sum of positive squares in 2 ways, for example, as 2022084 + 101124 = 1422^2 + 318^2 .

It is a super-2 number, since 2×21232082 = 9016024422528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2123203) 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, 2266 + ... + 3062.

22123208 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 2123208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956590).

2123208 is an abundant number, since it is smaller than the sum of its proper divisors (3789972).

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

2123208 is a wasteful number, since it uses less digits than its factorization.

2123208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2123208 is about 1457.1231931446. The cubic root of 2123208 is about 128.5279302588.

The spelling of 2123208 in words is "two million, one hundred twenty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 797 888 1332 1594 2391 2664 3188 4782 6376 7173 9564 14346 19128 28692 29489 57384 58978 88467 117956 176934 235912 265401 353868 530802 707736 1061604 2123208