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22244200272 = 2432782126879
BaseRepresentation
bin10100101101110110…
…111000111101010000
32010102020101110021100
4110231312320331100
5331024003402042
614115134224400
71415142403560
oct245566707520
963366343240
1022244200272
1194852a8998
124389655100
1321366138a8
14111038ada0
158a2cb924c
hex52ddb8f50

22244200272 has 120 divisors (see below), whose sum is σ = 71235440640. Its totient is φ = 6347508480.

The previous prime is 22244200261. The next prime is 22244200283. The reversal of 22244200272 is 27200244222.

It is an interprime number because it is at equal distance from previous prime (22244200261) and next prime (22244200283).

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 23 ways as a sum of consecutive naturals, for example, 814129 + ... + 841007.

It is an arithmetic number, because the mean of its divisors is an integer number (593628672).

Almost surely, 222244200272 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 22244200272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35617720320).

22244200272 is an abundant number, since it is smaller than the sum of its proper divisors (48991240368).

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

22244200272 is a wasteful number, since it uses less digits than its factorization.

22244200272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27721 (or 27712 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

Adding to 22244200272 its reverse (27200244222), we get a palindrome (49444444494).

The spelling of 22244200272 in words is "twenty-two billion, two hundred forty-four million, two hundred thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 821 1008 1642 2463 3284 4926 5747 6568 7389 9852 11494 13136 14778 17241 19704 22988 26879 29556 34482 39408 45976 51723 53758 59112 68964 80637 91952 103446 107516 118224 137928 161274 188153 206892 215032 241911 275856 322548 376306 413784 430064 483822 564459 645096 752612 827568 967644 1128918 1290192 1505224 1693377 1935288 2257836 3010448 3386754 3870576 4515672 6773508 9031344 13547016 22067659 27094032 44135318 66202977 88270636 132405954 154473613 176541272 198608931 264811908 308947226 353082544 397217862 463420839 529623816 617894452 794435724 926841678 1059247632 1235788904 1390262517 1588871448 1853683356 2471577808 2780525034 3177742896 3707366712 5561050068 7414733424 11122100136 22244200272