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23220322542 = 23317211313383
BaseRepresentation
bin10101101000000010…
…100000000011101110
32012221021010121022000
4111220002200003232
5340023400310132
614400044033130
71451264325234
oct255002400356
965837117260
1023220322542
1199362a300a
1246005327a6
132260910631
1411a3c80954
1590d83087c
hex5680a00ee

23220322542 has 128 divisors (see below), whose sum is σ = 55214161920. Its totient is φ = 7208248320.

The previous prime is 23220322519. The next prime is 23220322547. The reversal of 23220322542 is 24522302232.

23220322542 is a `hidden beast` number, since 232 + 203 + 225 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23220322547) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 60627283 + ... + 60627665.

It is an arithmetic number, because the mean of its divisors is an integer number (431360640).

Almost surely, 223220322542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23220322542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27607080960).

23220322542 is an abundant number, since it is smaller than the sum of its proper divisors (31993839378).

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

23220322542 is a wasteful number, since it uses less digits than its factorization.

23220322542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 23220322542 its reverse (24522302232), we get a palindrome (47742624774).

The spelling of 23220322542 in words is "twenty-three billion, two hundred twenty million, three hundred twenty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 211 306 313 383 422 459 626 633 766 918 939 1149 1266 1878 1899 2298 2817 3447 3587 3798 5321 5634 5697 6511 6894 7174 8451 10341 10642 10761 11394 13022 15963 16902 19533 20682 21522 31926 32283 39066 47889 58599 64566 66043 80813 95778 96849 117198 119879 132086 143667 161626 175797 193698 198129 239758 242439 287334 351594 359637 396258 484878 594387 719274 727317 1078911 1122731 1188774 1373821 1454634 1783161 2037943 2157822 2181951 2245462 2747642 3236733 3368193 3566322 4075886 4121463 4363902 6113829 6473466 6736386 8242926 10104579 12227658 12364389 18341487 20209158 24728778 25294469 30313737 36682974 37093167 50588938 55024461 60627474 74186334 75883407 110048922 151766814 227650221 430005973 455300442 682950663 860011946 1290017919 1365901326 2580035838 3870053757 7740107514 11610161271 23220322542