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2102211232 = 251136716273
BaseRepresentation
bin111110101001101…
…0011001010100000
312102111200101200021
41331103103022200
513301131224412
6544333403224
7103044333502
oct17523231240
95374611607
102102211232
11989709460
124a8039514
132766b3494
1415d2a3d72
15c4852607
hex7d4d32a0

2102211232 has 48 divisors (see below), whose sum is σ = 4527556992. Its totient is φ = 952888320.

The previous prime is 2102211217. The next prime is 2102211269. The reversal of 2102211232 is 2321122012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 121048 + ... + 137320.

It is an arithmetic number, because the mean of its divisors is an integer number (94324104).

Almost surely, 22102211232 is an apocalyptic number.

2102211232 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 2102211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263778496).

2102211232 is an abundant number, since it is smaller than the sum of its proper divisors (2425345760).

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

2102211232 is a wasteful number, since it uses less digits than its factorization.

2102211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16661 (or 16653 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2102211232 is about 45849.8771208822. The cubic root of 2102211232 is about 1281.0284767856.

Adding to 2102211232 its reverse (2321122012), we get a palindrome (4423333244).

The spelling of 2102211232 in words is "two billion, one hundred two million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 367 734 1468 2936 4037 5872 8074 11744 16148 16273 32296 32546 64592 65092 129184 130184 179003 260368 358006 520736 716012 1432024 2864048 5728096 5972191 11944382 23888764 47777528 65694101 95555056 131388202 191110112 262776404 525552808 1051105616 2102211232