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22125224552032 = 257134677733409
BaseRepresentation
bin1010000011111011011100…
…01001100110011001100000
32220100011001221101201011101
411001331232021212121200
510344444424441131112
6115020104323524144
74442331455452330
oct501755611463140
986304057351141
1022125224552032
117060289502238
122594024b29654
13c46527263674
14566c1bc890c0
152857db829757
hex141f6e266660

22125224552032 has 48 divisors (see below), whose sum is σ = 49782192757920. Its totient is φ = 9482155757568.

The previous prime is 22125224552029. The next prime is 22125224552059. The reversal of 22125224552032 is 23025542252122.

It is a happy number.

It is a super-3 number, since 3×221252245520323 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22125224551982 and 22125224552000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29800944 + ... + 30534352.

It is an arithmetic number, because the mean of its divisors is an integer number (1037129015790).

Almost surely, 222125224552032 is an apocalyptic number.

It is an amenable number.

22125224552032 is an abundant number, since it is smaller than the sum of its proper divisors (27656968205888).

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

22125224552032 is a wasteful number, since it uses less digits than its factorization.

22125224552032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868103 (or 868095 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

The spelling of 22125224552032 in words is "twenty-two trillion, one hundred twenty-five billion, two hundred twenty-four million, five hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 134677 269354 538708 733409 942739 1077416 1466818 1885478 2154832 2933636 3770956 4309664 5133863 5867272 7541912 10267726 11734544 15083824 20535452 23469088 30167648 41070904 82141808 164283616 98773323893 197546647786 395093295572 691413267251 790186591144 1382826534502 1580373182288 2765653069004 3160746364576 5531306138008 11062612276016 22125224552032