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22463203152 = 24313611015843
BaseRepresentation
bin10100111010111010…
…010100011101010000
32010222111110221202010
4110322322110131100
5332001040000102
614153000222520
71423442035125
oct247272243520
963874427663
1022463203152
119587990005
12442aa6aa40
13216cac24b0
1411314b874c
158b7128d6c
hex53ae94750

22463203152 has 160 divisors (see below), whose sum is σ = 64158143616. Its totient is φ = 6729984000.

The previous prime is 22463203151. The next prime is 22463203187. The reversal of 22463203152 is 25130236422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22463203151) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3841543 + ... + 3847385.

Almost surely, 222463203152 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 22463203152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32079071808).

22463203152 is an abundant number, since it is smaller than the sum of its proper divisors (41694940464).

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

22463203152 is a wasteful number, since it uses less digits than its factorization.

22463203152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6029 (or 6023 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 22463203152 its reverse (25130236422), we get a palindrome (47593439574).

The spelling of 22463203152 in words is "twenty-two billion, four hundred sixty-three million, two hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 101 104 122 156 183 202 208 244 303 312 366 404 488 606 624 732 793 808 976 1212 1313 1464 1586 1616 2379 2424 2626 2928 3172 3939 4758 4848 5252 5843 6161 6344 7878 9516 10504 11686 12322 12688 15756 17529 18483 19032 21008 23372 24644 31512 35058 36966 38064 46744 49288 63024 70116 73932 75959 80093 93488 98576 140232 147864 151918 160186 227877 240279 280464 295728 303836 320372 356423 455754 480558 590143 607672 640744 712846 911508 961116 1069269 1180286 1215344 1281488 1425692 1770429 1823016 1922232 2138538 2360572 2851384 3540858 3646032 3844464 4277076 4633499 4721144 5702768 7081716 7671859 8554152 9266998 9442288 13900497 14163432 15343718 17108304 18533996 23015577 27800994 28326864 30687436 35998723 37067992 46031154 55601988 61374872 71997446 74135984 92062308 107996169 111203976 122749744 143994892 184124616 215992338 222407952 287989784 368249232 431984676 467983399 575979568 863969352 935966798 1403950197 1727938704 1871933596 2807900394 3743867192 5615800788 7487734384 11231601576 22463203152