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22044432312 = 2333742134631
BaseRepresentation
bin10100100001111100…
…110101011110111000
32002220022111012011000
4110201330311132320
5330121333313222
614043240405000
71410165403650
oct244174653670
962808435130
1022044432312
119392564301
124332776760
13210410b0b6
1410d1a29360
158904a89ac
hex521f357b8

22044432312 has 128 divisors (see below), whose sum is σ = 70150579200. Its totient is φ = 6283267200.

The previous prime is 22044432299. The next prime is 22044432323. The reversal of 22044432312 is 21323444022.

22044432312 is a `hidden beast` number, since 2 + 204 + 443 + 2 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 619237 + ... + 653867.

It is an arithmetic number, because the mean of its divisors is an integer number (548051400).

Almost surely, 222044432312 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 22044432312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35075289600).

22044432312 is an abundant number, since it is smaller than the sum of its proper divisors (48106146888).

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

22044432312 is a wasteful number, since it uses less digits than its factorization.

22044432312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35074 (or 35064 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22044432312 its reverse (21323444022), we get a palindrome (43367876334).

The spelling of 22044432312 in words is "twenty-two billion, forty-four million, four hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 421 504 756 842 1263 1512 1684 2526 2947 3368 3789 5052 5894 7578 8841 10104 11367 11788 15156 17682 22734 23576 26523 30312 34631 35364 45468 53046 69262 70728 79569 90936 103893 106092 138524 159138 207786 212184 242417 277048 311679 318276 415572 484834 623358 636552 727251 831144 935037 969668 1246716 1454502 1870074 1939336 2181753 2493432 2909004 3740148 4363506 5818008 6545259 7480296 8727012 13090518 14579651 17454024 26181036 29159302 43738953 52362072 58318604 87477906 102057557 116637208 131216859 174955812 204115114 262433718 306172671 349911624 393650577 408230228 524867436 612345342 787301154 816460456 918518013 1049734872 1224690684 1574602308 1837036026 2449381368 2755554039 3149204616 3674072052 5511108078 7348144104 11022216156 22044432312