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1223134100224 = 28234725117609
BaseRepresentation
bin10001110011001000011…
…110010011101100000000
311022221010022121011111021
4101303020132103230000
5130014434312201344
62333522224355224
7154240255211251
oct21631036235400
94287108534437
101223134100224
11431801348a93
12179075175b14
138b4583999ca
14432b2b62b28
1521c3ab88b84
hex11cc8793b00

1223134100224 has 144 divisors (see below), whose sum is σ = 2612361507840. Its totient is φ = 570217472000.

The previous prime is 1223134100159. The next prime is 1223134100233. The reversal of 1223134100224 is 4220014313221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69451932 + ... + 69469540.

It is an arithmetic number, because the mean of its divisors is an integer number (18141399360).

Almost surely, 21223134100224 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 1223134100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306180753920).

1223134100224 is an abundant number, since it is smaller than the sum of its proper divisors (1389227407616).

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

1223134100224 is a wasteful number, since it uses less digits than its factorization.

1223134100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17946 (or 17932 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1223134100224 its reverse (4220014313221), we get a palindrome (5443148413445).

The spelling of 1223134100224 in words is "one trillion, two hundred twenty-three billion, one hundred thirty-four million, one hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 47 64 92 94 128 184 188 251 256 368 376 502 736 752 1004 1081 1472 1504 2008 2162 2944 3008 4016 4324 5773 5888 6016 8032 8648 11546 11797 12032 16064 17296 17609 23092 23594 32128 34592 35218 46184 47188 64256 69184 70436 92368 94376 138368 140872 184736 188752 271331 276736 281744 369472 377504 405007 542662 563488 738944 755008 810014 827623 1085324 1126976 1477888 1510016 1620028 1655246 2170648 2253952 3020032 3240056 3310492 4341296 4419859 4507904 6480112 6620984 8682592 8839718 12960224 13241968 17365184 17679436 19035329 25920448 26483936 34730368 35358872 38070658 51840896 52967872 69460736 70717744 76141316 101656757 103681792 105935744 141435488 152282632 203313514 207733373 211871488 282870976 304565264 406627028 415466746 565741952 609130528 813254056 830933492 1131483904 1218261056 1626508112 1661866984 2436522112 3253016224 3323733968 4777867579 4873044224 6506032448 6647467936 9555735158 13012064896 13294935872 19111470316 26024129792 26589871744 38222940632 53179743488 76445881264 152891762528 305783525056 611567050112 1223134100224