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230122312512 = 26322929317863
BaseRepresentation
bin1101011001010001011…
…0111101001101000000
3210222222121201201002120
43112110112331031000
512232242303000022
6253414451444240
722424434245051
oct3262426751500
9728877651076
10230122312512
118965a056454
12387235b6680
1318914b3a931
14b1d0888728
155ebcbadd5c
hex35945bd340

230122312512 has 112 divisors (see below), whose sum is σ = 613645549440. Its totient is φ = 76107552768.

The previous prime is 230122312463. The next prime is 230122312513. The reversal of 230122312512 is 215213221032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230122312513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12873693 + ... + 12891555.

It is an arithmetic number, because the mean of its divisors is an integer number (5478978120).

Almost surely, 2230122312512 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 230122312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306822774720).

230122312512 is an abundant number, since it is smaller than the sum of its proper divisors (383523236928).

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

230122312512 is a wasteful number, since it uses less digits than its factorization.

230122312512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18400 (or 18390 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 230122312512 its reverse (215213221032), we get a palindrome (445335533544).

The spelling of 230122312512 in words is "two hundred thirty billion, one hundred twenty-two million, three hundred twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 229 293 458 586 687 879 916 1172 1374 1758 1832 2344 2748 3516 3664 4688 5496 7032 7328 9376 10992 14064 14656 17863 18752 21984 28128 35726 43968 53589 56256 67097 71452 107178 134194 142904 201291 214356 268388 285808 402582 428712 536776 571616 805164 857424 1073552 1143232 1610328 1714848 2147104 3220656 3429696 4090627 4294208 5233859 6441312 8181254 10467718 12271881 12882624 15701577 16362508 20935436 24543762 31403154 32725016 41870872 49087524 62806308 65450032 83741744 98175048 125612616 130900064 167483488 196350096 251225232 261800128 334966976 392700192 502450464 785400384 1004900928 1198553711 2397107422 3595661133 4794214844 7191322266 9588429688 14382644532 19176859376 28765289064 38353718752 57530578128 76707437504 115061156256 230122312512