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22400412012 = 223211250910103
BaseRepresentation
bin10100110111001010…
…110010100101101100
32010211010022211111100
4110313022302211230
5331334001141022
614142434323100
71422050234436
oct246712624554
963733284440
1022400412012
1195554a3100
124411a29490
13215caa8c84
141127011656
158b18741ac
hex5372b296c

22400412012 has 108 divisors (see below), whose sum is σ = 62367243120. Its totient is φ = 6773997120.

The previous prime is 22400411993. The next prime is 22400412079. The reversal of 22400412012 is 21021400422.

22400412012 is a `hidden beast` number, since 2 + 240 + 0 + 412 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2212153 + ... + 2222255.

Almost surely, 222400412012 is an apocalyptic number.

22400412012 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 22400412012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31183621560).

22400412012 is an abundant number, since it is smaller than the sum of its proper divisors (39966831108).

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

22400412012 is a wasteful number, since it uses less digits than its factorization.

22400412012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10644 (or 10628 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22400412012 its reverse (21021400422), we get a palindrome (43421812434).

The spelling of 22400412012 in words is "twenty-two billion, four hundred million, four hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 509 726 1018 1089 1452 1527 2036 2178 3054 4356 4581 5599 6108 9162 10103 11198 16797 18324 20206 22396 30309 33594 40412 50391 60618 61589 67188 90927 100782 111133 121236 123178 181854 184767 201564 222266 246356 333399 363708 369534 444532 554301 666798 739068 1000197 1108602 1222463 1333596 2000394 2217204 2444926 3667389 4000788 4889852 5142427 7334778 10284854 11002167 14669556 15427281 20569708 22004334 30854562 44008668 46281843 56566697 61709124 92563686 113133394 169700091 185127372 226266788 339400182 509100273 622233667 678800364 1018200546 1244467334 1866701001 2036401092 2488934668 3733402002 5600103003 7466804004 11200206006 22400412012