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22003033312 = 2513375924229
BaseRepresentation
bin10100011111011110…
…111010010011100000
32002210102120220101201
4110133132322103200
5330030234031222
614035201210544
71406153461111
oct243736722340
962712526351
1022003033312
119371158657
124320930a54
1320c8674850
1410ca330208
1588ba2c427
hex51f7ba4e0

22003033312 has 96 divisors (see below), whose sum is σ = 48725560800. Its totient is φ = 9712908288.

The previous prime is 22003033289. The next prime is 22003033331. The reversal of 22003033312 is 21333030022.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22003033312.

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 15 ways as a sum of consecutive naturals, for example, 896014 + ... + 920242.

It is an arithmetic number, because the mean of its divisors is an integer number (507557925).

Almost surely, 222003033312 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 22003033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24362780400).

22003033312 is an abundant number, since it is smaller than the sum of its proper divisors (26722527488).

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

22003033312 is a wasteful number, since it uses less digits than its factorization.

22003033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24348 (or 24340 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 22003033312 its reverse (21333030022), we get a palindrome (43336063334).

The spelling of 22003033312 in words is "twenty-two billion, three million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 37 52 59 74 104 118 148 208 236 296 416 472 481 592 767 944 962 1184 1534 1888 1924 2183 3068 3848 4366 6136 7696 8732 12272 15392 17464 24229 24544 28379 34928 48458 56758 69856 96916 113516 193832 227032 314977 387664 454064 629954 775328 896473 908128 1259908 1429511 1792946 2519816 2859022 3585892 5039632 5718044 7171784 10079264 11436088 11654149 14343568 18583643 22872176 23308298 28687136 37167286 45744352 46616596 52891907 74334572 93233192 105783814 148669144 186466384 211567628 297338288 372932768 423135256 594676576 687594791 846270512 1375189582 1692541024 2750379164 5500758328 11001516656 22003033312