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22213332113120 = 255388733571459
BaseRepresentation
bin1010000110011111100011…
…10001010001011011100000
32220122120111022022120010122
411003033301301101123200
510402420401010104440
6115124355222415412
74451601035410301
oct503176161213340
986576438276118
1022213332113120
117094691971a25
1225a9113b91568
13c51928c9b7b5
1456b1b96ca7a8
15287c4698d7b5
hex1433f1c516e0

22213332113120 has 48 divisors (see below), whose sum is σ = 52480361823120. Its totient is φ = 8885101784064.

The previous prime is 22213332113117. The next prime is 22213332113129. The reversal of 22213332113120 is 2131123331222.

It is a super-5 number, since 5×222133321131205 (a number of 68 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 22213332113120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22213332113129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4433951 + ... + 8005409.

It is an arithmetic number, because the mean of its divisors is an integer number (1093340871315).

Almost surely, 222213332113120 is an apocalyptic number.

22213332113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22213332113120 is an abundant number, since it is smaller than the sum of its proper divisors (30267029710000).

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

22213332113120 is a wasteful number, since it uses less digits than its factorization.

22213332113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610347 (or 3610339 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 22213332113120 its reverse (2131123331222), we get a palindrome (24344455444342).

The spelling of 22213332113120 in words is "twenty-two trillion, two hundred thirteen billion, three hundred thirty-two million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 38873 77746 155492 194365 310984 388730 621968 777460 1243936 1554920 3109840 3571459 6219680 7142918 14285836 17857295 28571672 35714590 57143344 71429180 114286688 142858360 285716720 571433440 138833325707 277666651414 555333302828 694166628535 1110666605656 1388333257070 2221333211312 2776666514140 4442666422624 5553333028280 11106666056560 22213332113120