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22120452504 = 23323143230479
BaseRepresentation
bin10100100110011110…
…110101000110011000
32010002121112102020200
4110212132311012120
5330300313440004
614054554022200
71412110513113
oct244636650630
963077472220
1022120452504
119421467407
124354117960
132116aa6b67
1410dbb7757a
15896ec3239
hex5267b5198

22120452504 has 96 divisors (see below), whose sum is σ = 63280588800. Its totient is φ = 6969654720.

The previous prime is 22120452491. The next prime is 22120452551. The reversal of 22120452504 is 40525402122.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 19264 + ... + 211215.

It is an arithmetic number, because the mean of its divisors is an integer number (659172800).

Almost surely, 222120452504 is an apocalyptic number.

22120452504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120452504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31640294400).

22120452504 is an abundant number, since it is smaller than the sum of its proper divisors (41160136296).

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

22120452504 is a wasteful number, since it uses less digits than its factorization.

22120452504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230565 (or 230558 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 22120452504 its reverse (40525402122), we get a palindrome (62645854626).

The spelling of 22120452504 in words is "twenty-two billion, one hundred twenty million, four hundred fifty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 43 62 72 86 93 124 129 172 186 248 258 279 344 372 387 516 558 744 774 1032 1116 1333 1548 2232 2666 3096 3999 5332 7998 10664 11997 15996 23994 31992 47988 95976 230479 460958 691437 921916 1382874 1843832 2074311 2765748 4148622 5531496 7144849 8297244 9910597 14289698 16594488 19821194 21434547 28579396 29731791 39642388 42869094 57158792 59463582 64303641 79284776 85738188 89195373 118927164 128607282 171476376 178390746 237854328 257214564 307228507 356781492 514429128 614457014 713562984 921685521 1228914028 1843371042 2457828056 2765056563 3686742084 5530113126 7373484168 11060226252 22120452504