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2212900032 = 26373153113
BaseRepresentation
bin1000001111100110…
…0010110011000000
312201012221222011110
42003321202303000
514013000300112
61003330043320
7105560224410
oct20371426300
95635858143
102212900032
11a36140602
12519119540
132935ca205
1416dc78640
15ce41913c
hex83e62cc0

2212900032 has 112 divisors (see below), whose sum is σ = 6907369472. Its totient is φ = 611850240.

The previous prime is 2212900031. The next prime is 2212900057. The reversal of 2212900032 is 2300092122.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 2212899981 and 2212900008.

It is not an unprimeable number, because it can be changed into a prime (2212900031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15108 + ... + 68220.

Almost surely, 22212900032 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 2212900032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453684736).

2212900032 is an abundant number, since it is smaller than the sum of its proper divisors (4694469440).

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

2212900032 is a wasteful number, since it uses less digits than its factorization.

2212900032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53166 (or 53156 counting only the distinct ones).

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

The square root of 2212900032 is about 47041.4714055587. The cubic root of 2212900032 is about 1303.1285657742.

Adding to 2212900032 its reverse (2300092122), we get a palindrome (4512992154).

The spelling of 2212900032 in words is "two billion, two hundred twelve million, nine hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5952 6944 10416 13888 20832 41664 53113 106226 159339 212452 318678 371791 424904 637356 743582 849808 1115373 1274712 1487164 1646503 1699616 2230746 2549424 2974328 3293006 3399232 4461492 4939509 5098848 5948656 6586012 8922984 9879018 10197696 11525521 11897312 13172024 17845968 19758036 23051042 23794624 26344048 34576563 35691936 39516072 46102084 52688096 69153126 71383872 79032144 92204168 105376192 138306252 158064288 184408336 276612504 316128576 368816672 553225008 737633344 1106450016 2212900032