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2234132032 = 261129310831
BaseRepresentation
bin1000010100101010…
…0010011001000000
312202200220122222211
42011022202121000
514033414211112
61005405111504
7106235544316
oct20512423100
95680818884
102234132032
11a47122510
12524258594
13297b22322
14172a040b6
15d12100a7
hex852a2640

2234132032 has 56 divisors (see below), whose sum is σ = 4853342592. Its totient is φ = 1011955200.

The previous prime is 2234131961. The next prime is 2234132053. The reversal of 2234132032 is 2302314322.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2234131994 and 2234132012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200857 + ... + 211687.

It is an arithmetic number, because the mean of its divisors is an integer number (86666832).

Almost surely, 22234132032 is an apocalyptic number.

2234132032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426671296).

2234132032 is an abundant number, since it is smaller than the sum of its proper divisors (2619210560).

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

2234132032 is a wasteful number, since it uses less digits than its factorization.

2234132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11147 (or 11137 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2234132032 is about 47266.6058861857. The cubic root of 2234132032 is about 1307.2829944504.

Adding to 2234132032 its reverse (2302314322), we get a palindrome (4536446354).

The spelling of 2234132032 in words is "two billion, two hundred thirty-four million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 293 352 586 704 1172 2344 3223 4688 6446 9376 10831 12892 18752 21662 25784 43324 51568 86648 103136 119141 173296 206272 238282 346592 476564 693184 953128 1906256 3173483 3812512 6346966 7625024 12693932 25387864 34908313 50775728 69816626 101551456 139633252 203102912 279266504 558533008 1117066016 2234132032