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2189232 = 243223661
BaseRepresentation
bin1000010110011110110000
311010020001200
420112132300
51030023412
6114531200
724415413
oct10263660
94106050
102189232
111265891
12896b00
135b8606
1440db7a
152d39dc
hex2167b0

2189232 has 60 divisors (see below), whose sum is σ = 6402864. Its totient is φ = 696960.

The previous prime is 2189227. The next prime is 2189249. The reversal of 2189232 is 2329812.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2189196 and 2189205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2982 + ... + 3642.

22189232 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 2189232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201432).

2189232 is an abundant number, since it is smaller than the sum of its proper divisors (4213632).

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

2189232 is a wasteful number, since it uses less digits than its factorization.

2189232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 689 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2189232 is about 1479.6053527884. The cubic root of 2189232 is about 129.8466040787.

It can be divided in two parts, 21 and 89232, that added together give a triangular number (89253 = T422).

The spelling of 2189232 in words is "two million, one hundred eighty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 661 828 1104 1322 1656 1983 2644 3312 3966 5288 5949 7932 10576 11898 15203 15864 23796 30406 31728 45609 47592 60812 91218 95184 121624 136827 182436 243248 273654 364872 547308 729744 1094616 2189232