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22250243461504 = 273753761116483
BaseRepresentation
bin1010000111100100010011…
…10110111001000110000000
32220210002202201112100010211
411003302021312321012000
510404021444311232004
6115153342025003504
74454345526610012
oct503621166710600
986702681470124
1022250243461504
1170a930340a323
1225b42b5623594
13c5525c19a546
1456ccbb9b61b2
15288ba721e504
hex143c89db9180

22250243461504 has 128 divisors (see below), whose sum is σ = 46444980394080. Its totient is φ = 10606161346560.

The previous prime is 22250243461493. The next prime is 22250243461519. The reversal of 22250243461504 is 40516434205222.

It is a tau number, because it is divible by the number of its divisors (128).

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, 190958847 + ... + 191075329.

Almost surely, 222250243461504 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 22250243461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23222490197040).

22250243461504 is an abundant number, since it is smaller than the sum of its proper divisors (24194736932576).

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

22250243461504 is a wasteful number, since it uses less digits than its factorization.

22250243461504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117348 (or 117336 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 22250243461504 its reverse (40516434205222), we get a palindrome (62766677666726).

The spelling of 22250243461504 in words is "twenty-two trillion, two hundred fifty billion, two hundred forty-three million, four hundred sixty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 37 53 64 74 106 128 148 212 296 424 592 761 848 1184 1522 1696 1961 2368 3044 3392 3922 4736 6088 6784 7844 12176 15688 24352 28157 31376 40333 48704 56314 62752 80666 97408 112628 116483 125504 161332 225256 232966 251008 322664 450512 465932 645328 901024 931864 1290656 1492321 1802048 1863728 2581312 2984642 3604096 3727456 4309871 5162624 5969284 6173599 7454912 8619742 11938568 12347198 14909824 17239484 23877136 24694396 34478968 47754272 49388792 68957936 88643563 95508544 98777584 137915872 177287126 191017088 197555168 228423163 275831744 354574252 395110336 456846326 551663488 709148504 790220672 913692652 1418297008 1827385304 2836594016 3279811831 3654770608 4698108839 5673188032 6559623662 7309541216 9396217678 11346376064 13119247324 14619082432 18792435356 26238494648 29238164864 37584870712 52476989296 75169741424 104953978592 150339482848 173830027043 209907957184 300678965696 347660054086 419815914368 601357931392 695320108172 1390640216344 2781280432688 5562560865376 11125121730752 22250243461504