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2232260210312 = 23111719113815657
BaseRepresentation
bin100000011110111101000…
…100111010111010001000
321220101212001102000111122
4200132331010322322020
5243033132103212222
64425253003214412
7320163326501246
oct40367504727210
97811761360448
102232260210312
1179077276a520
12300763517408
1313266929b892
147a08324b796
153d0ed6dca42
hex207bd13ae88

2232260210312 has 128 divisors (see below), whose sum is σ = 4864264980480. Its totient is φ = 949122048000.

The previous prime is 2232260210309. The next prime is 2232260210317. The reversal of 2232260210312 is 2130120622322.

It is a super-3 number, since 3×22322602103123 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2232260210317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394598588 + ... + 394604244.

It is an arithmetic number, because the mean of its divisors is an integer number (38002070160).

Almost surely, 22232260210312 is an apocalyptic number.

2232260210312 is a gapful number since it is divisible by the number (22) 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 2232260210312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432132490240).

2232260210312 is an abundant number, since it is smaller than the sum of its proper divisors (2632004770168).

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

2232260210312 is a wasteful number, since it uses less digits than its factorization.

2232260210312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7263 (or 7259 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 2232260210312 its reverse (2130120622322), we get a palindrome (4362380832634).

The spelling of 2232260210312 in words is "two trillion, two hundred thirty-two billion, two hundred sixty million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 191 374 382 748 764 1381 1496 1528 2101 2762 3247 4202 5524 5657 6494 8404 11048 11314 12988 15191 16808 22628 23477 25976 30382 35717 45256 46954 60764 62227 71434 93908 96169 121528 124454 142868 187816 192338 248908 258247 263771 285736 384676 497816 516494 527542 769352 1032988 1055084 1057859 1080487 2065976 2110168 2115718 2160974 2901481 4231436 4321948 4484107 5802962 7812317 8462872 8643896 8968214 11605924 11885357 15624634 17936428 18368279 23211848 23770714 31249268 35872856 36736558 47541428 49325177 62498536 73473116 85935487 95082856 98650354 132809389 146946232 171870974 197300708 202051069 265618778 343741948 394601416 404102138 531237556 687483896 808204276 1062475112 1460903279 1492152547 1616408552 2921806558 2984305094 5843613116 5968610188 11687226232 11937220376 16413678017 25366593299 32827356034 50733186598 65654712068 101466373196 131309424136 202932746392 279032526289 558065052578 1116130105156 2232260210312