Search a number
-
+
233060840 = 235192367199
BaseRepresentation
bin11011110010000…
…11100111101000
3121020112201100222
431321003213220
5434130421330
635043145212
75526661445
oct1571034750
9536481328
10233060840
1110a614071
1266075208
133939152c
1422d4a9cc
15156da0e5
hexde439e8

233060840 has 128 divisors (see below), whose sum is σ = 587520000. Its totient is φ = 82798848.

The previous prime is 233060831. The next prime is 233060843. The reversal of 233060840 is 48060332.

It is not an unprimeable number, because it can be changed into a prime (233060843) 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, 1171061 + ... + 1171259.

It is an arithmetic number, because the mean of its divisors is an integer number (4590000).

Almost surely, 2233060840 is an apocalyptic number.

233060840 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 233060840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293760000).

233060840 is an abundant number, since it is smaller than the sum of its proper divisors (354459160).

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

233060840 is a wasteful number, since it uses less digits than its factorization.

233060840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

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

The square root of 233060840 is about 15266.3302728586. The cubic root of 233060840 is about 615.3985034846.

The spelling of 233060840 in words is "two hundred thirty-three million, sixty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 67 76 92 95 115 134 152 184 190 199 230 268 335 380 398 437 460 536 670 760 796 874 920 995 1273 1340 1541 1592 1748 1990 2185 2546 2680 3082 3496 3781 3980 4370 4577 5092 6164 6365 7562 7705 7960 8740 9154 10184 12328 12730 13333 15124 15410 17480 18308 18905 22885 25460 26666 29279 30248 30820 36616 37810 45770 50920 53332 58558 61640 66665 75620 86963 91540 106664 117116 133330 146395 151240 173926 183080 234232 253327 266660 292790 306659 347852 434815 506654 533320 585580 613318 695704 869630 1013308 1171160 1226636 1266635 1533295 1739260 2026616 2453272 2533270 3066590 3478520 5066540 5826521 6133180 10133080 11653042 12266360 23306084 29132605 46612168 58265210 116530420 233060840