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2212031136 = 253712725919
BaseRepresentation
bin1000001111011000…
…1110101010100000
312201011022211021010
42003312032222200
514012234444021
61003255300520
7105546645240
oct20366165240
95634284233
102212031136
11a356a7807
1251897a740
13293384883
1416dacdb20
15ce2e6976
hex83d8eaa0

2212031136 has 96 divisors (see below), whose sum is σ = 6688604160. Its totient is φ = 627008256.

The previous prime is 2212031117. The next prime is 2212031137. The reversal of 2212031136 is 6311302122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2212031137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72385 + ... + 98303.

It is an arithmetic number, because the mean of its divisors is an integer number (69672960).

Almost surely, 22212031136 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 2212031136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344302080).

2212031136 is an abundant number, since it is smaller than the sum of its proper divisors (4476573024).

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

2212031136 is a wasteful number, since it uses less digits than its factorization.

2212031136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26066 (or 26058 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2212031136 is about 47032.2350734047. The cubic root of 2212031136 is about 1302.9579854781.

Adding to 2212031136 its reverse (6311302122), we get a palindrome (8523333258).

The spelling of 2212031136 in words is "two billion, two hundred twelve million, thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 127 168 224 254 336 381 508 672 762 889 1016 1524 1778 2032 2667 3048 3556 4064 5334 6096 7112 10668 12192 14224 21336 25919 28448 42672 51838 77757 85344 103676 155514 181433 207352 311028 362866 414704 544299 622056 725732 829408 1088598 1244112 1451464 2177196 2488224 2902928 3291713 4354392 5805856 6583426 8708784 9875139 13166852 17417568 19750278 23041991 26333704 39500556 46083982 52667408 69125973 79001112 92167964 105334816 138251946 158002224 184335928 276503892 316004448 368671856 553007784 737343712 1106015568 2212031136