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22000133052 = 223223831572039
BaseRepresentation
bin10100011111010011…
…110110001110111100
32002210020010112222200
4110133103312032330
5330024013224202
614035015111500
71406120021412
oct243723661674
962706115880
1022000133052
11936a557647
12431b972590
1320c7b9a711
1410c9bb72b2
1588b657e1c
hex51f4f63bc

22000133052 has 144 divisors (see below), whose sum is σ = 59131537920. Its totient is φ = 6882505344.

The previous prime is 22000132961. The next prime is 22000133053. The reversal of 22000133052 is 25033100022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000133053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10788649 + ... + 10790687.

It is an arithmetic number, because the mean of its divisors is an integer number (410635680).

Almost surely, 222000133052 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 22000133052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29565768960).

22000133052 is an abundant number, since it is smaller than the sum of its proper divisors (37131404868).

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

22000133052 is a wasteful number, since it uses less digits than its factorization.

22000133052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 22000133052 its reverse (25033100022), we get a palindrome (47033233074).

The spelling of 22000133052 in words is "twenty-two billion, one hundred thirty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 83 92 138 157 166 207 249 276 314 332 414 471 498 628 747 828 942 996 1413 1494 1884 1909 2039 2826 2988 3611 3818 4078 5652 5727 6117 7222 7636 8156 10833 11454 12234 13031 14444 17181 18351 21666 22908 24468 26062 32499 34362 36702 39093 43332 46897 52124 64998 68724 73404 78186 93794 117279 129996 140691 156372 169237 187588 234558 281382 299713 320123 338474 422073 469116 507711 562764 599426 640246 676948 844146 899139 960369 1015422 1198852 1280492 1523133 1688292 1798278 1920738 2030844 2697417 2881107 3046266 3596556 3841476 3892451 5394834 5762214 6092532 7362829 7784902 10789668 11524428 11677353 14725658 15569804 22088487 23354706 26570209 29451316 35032059 44176974 46709412 53140418 66265461 70064118 79710627 88353948 106280836 132530922 140128236 159421254 239131881 265061844 318842508 478263762 611114807 956527524 1222229614 1833344421 2444459228 3666688842 5500033263 7333377684 11000066526 22000133052