Search a number
-
+
233213010360 = 233511327154013
BaseRepresentation
bin1101100100110010010…
…1000010000110111000
3211021222000102102111020
43121030211002012320
512310110012312420
6255045300102440
722564143611001
oct3311445020670
9737860372436
10233213010360
118a9a57344a0
1239246694a20
1318cb8259925
14b4051401a8
1560ee1bb340
hex364c9421b8

233213010360 has 128 divisors (see below), whose sum is σ = 763490050560. Its totient is φ = 56518156800.

The previous prime is 233213010343. The next prime is 233213010397. The reversal of 233213010360 is 63010312332.

It is a happy number.

233213010360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 233213010360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4290714 + ... + 4344726.

It is an arithmetic number, because the mean of its divisors is an integer number (5964766020).

Almost surely, 2233213010360 is an apocalyptic number.

233213010360 is a gapful number since it is divisible by the number (20) 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 233213010360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381745025280).

233213010360 is an abundant number, since it is smaller than the sum of its proper divisors (530277040200).

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

233213010360 is a wasteful number, since it uses less digits than its factorization.

233213010360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57309 (or 57305 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 233213010360 its reverse (63010312332), we get a palindrome (296223322692).

The spelling of 233213010360 in words is "two hundred thirty-three billion, two hundred thirteen million, ten thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3271 6542 9813 13084 16355 19626 26168 32710 35981 39252 49065 54013 65420 71962 78504 98130 107943 108026 130840 143924 162039 179905 196260 215886 216052 270065 287848 324078 359810 392520 431772 432104 539715 540130 594143 648156 719620 810195 863544 1079430 1080260 1188286 1296312 1439240 1620390 1782429 2158860 2160520 2376572 2970715 3240780 3564858 4317720 4753144 5941430 6481560 7129716 8912145 11882860 14259432 17824290 23765720 35648580 71297160 176676523 353353046 530029569 706706092 883382615 1060059138 1413412184 1766765230 1943441753 2120118276 2650147845 3533530460 3886883506 4240236552 5300295690 5830325259 7067060920 7773767012 9717208765 10600591380 11660650518 15547534024 19434417530 21201182760 23321301036 29151626295 38868835060 46642602072 58303252590 77737670120 116606505180 233213010360