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92228253128 = 231124322272
BaseRepresentation
bin101010111100100111…
…0110111010111001000
322211001112201200202222
41111321032313113020
53002340413100003
6110211415313212
76443334134234
oct1257116672710
9284045650688
1092228253128
1136128498700
1215a5b07b808
13890a66675b
14466cc115c4
1525ebcc9c38
hex15793b75c8

92228253128 has 108 divisors (see below), whose sum is σ = 195462121995. Its totient is φ = 40766621280.

The previous prime is 92228253049. The next prime is 92228253181. The reversal of 92228253128 is 82135282229.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 46114126564 + 46114126564 = 214742^2 + 214742^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=214742.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 406291751 + ... + 406291977.

Almost surely, 292228253128 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 92228253128

92228253128 is an abundant number, since it is smaller than the sum of its proper divisors (103233868867).

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

92228253128 is a wasteful number, since it uses less digits than its factorization.

92228253128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 283 counting only the distinct ones).

The product of its digits is 276480, while the sum is 44.

The spelling of 92228253128 in words is "ninety-two billion, two hundred twenty-eight million, two hundred fifty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 22 43 44 86 88 121 172 227 242 344 454 473 484 908 946 968 1816 1849 1892 2497 3698 3784 4994 5203 7396 9761 9988 10406 14792 19522 19976 20339 20812 27467 39044 40678 41624 51529 54934 78088 81356 103058 107371 109868 162712 206116 214742 219736 223729 412232 419723 429484 447458 566819 839446 858968 894916 1133638 1181081 1678892 1789832 2215747 2267276 2362162 3357784 4431494 4534552 4616953 4724324 6235009 8862988 9233906 9448648 12470018 17725976 18467812 24373217 24940036 36935624 48746434 49880072 50786483 95277121 97492868 101572966 190554242 194985736 203145932 268105387 381108484 406291864 536210774 762216968 1048048331 1072421548 2096096662 2144843096 4192193324 8384386648 11528531641 23057063282 46114126564 92228253128