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2012011232 = 257112193907
BaseRepresentation
bin111011111101100…
…1101101011100000
312012012221202112112
41313323031223200
513110033324412
6531352214452
7100600545650
oct16773155340
95165852475
102012011232
11942800900
1248199a428
13260ac14ba
14151304360
15bb986722
hex77ecdae0

2012011232 has 144 divisors (see below), whose sum is σ = 5239221120. Its totient is φ = 742452480.

The previous prime is 2012011207. The next prime is 2012011249. The reversal of 2012011232 is 2321102102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513023 + ... + 516929.

It is an arithmetic number, because the mean of its divisors is an integer number (36383480).

Almost surely, 22012011232 is an apocalyptic number.

2012011232 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 2012011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619610560).

2012011232 is an abundant number, since it is smaller than the sum of its proper divisors (3227209888).

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

2012011232 is a wasteful number, since it uses less digits than its factorization.

2012011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2012011232 is about 44855.4481863686. The cubic root of 2012011232 is about 1262.4382182230.

Adding to 2012011232 its reverse (2321102102), we get a palindrome (4333113334).

The spelling of 2012011232 in words is "two billion, twelve million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 112 121 133 152 154 176 209 224 242 266 304 308 352 418 484 532 608 616 836 847 968 1064 1232 1463 1672 1694 1936 2128 2299 2464 2926 3344 3388 3872 3907 4256 4598 5852 6688 6776 7814 9196 11704 13552 15628 16093 18392 23408 27104 27349 31256 32186 36784 42977 46816 54698 62512 64372 73568 74233 85954 109396 125024 128744 148466 171908 218792 257488 296932 300839 343816 437584 472747 514976 519631 593864 601678 687632 816563 875168 945494 1039262 1187728 1203356 1375264 1633126 1890988 2078524 2375456 2406712 3266252 3309229 3781976 4157048 4813424 5715941 6532504 6618458 7563952 8314096 8982193 9626848 11431882 13065008 13236916 15127904 16628192 17964386 22863764 26130016 26473832 35928772 45727528 52947664 62875351 71857544 91455056 105895328 125750702 143715088 182910112 251501404 287430176 503002808 1006005616 2012011232