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22220053504 = 210118323767
BaseRepresentation
bin10100101100011010…
…110001110000000000
32010100112221200010121
4110230122301300000
5331001313203004
614112512510024
71414430224045
oct245432616000
963315850117
1022220053504
119472706090
12438154b314
13213160ab6c
14110b0a31cc
158a0ae9854
hex52c6b1c00

22220053504 has 88 divisors (see below), whose sum is σ = 49042320768. Its totient is φ = 9977917440.

The previous prime is 22220053459. The next prime is 22220053517. The reversal of 22220053504 is 40535002222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 923029 + ... + 946795.

Almost surely, 222220053504 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 22220053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24521160384).

22220053504 is an abundant number, since it is smaller than the sum of its proper divisors (26822267264).

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

22220053504 is a wasteful number, since it uses less digits than its factorization.

22220053504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23881 (or 23863 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 22220053504 its reverse (40535002222), we get a palindrome (62755055726).

The spelling of 22220053504 in words is "twenty-two billion, two hundred twenty million, fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 128 166 176 256 332 352 512 664 704 913 1024 1328 1408 1826 2656 2816 3652 5312 5632 7304 10624 11264 14608 21248 23767 29216 42496 47534 58432 84992 95068 116864 190136 233728 261437 380272 467456 522874 760544 934912 1045748 1521088 1972661 2091496 3042176 3945322 4182992 6084352 7890644 8365984 12168704 15781288 16731968 21699271 24337408 31562576 33463936 43398542 63125152 66927872 86797084 126250304 133855744 173594168 252500608 267711488 347188336 505001216 694376672 1010002432 1388753344 2020004864 2777506688 5555013376 11110026752 22220053504