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232013100 = 2235211167421
BaseRepresentation
bin11011101010000…
…11110100101100
3121011120111010210
431311003310230
5433343404400
635004502420
75515036014
oct1565036454
9534514123
10232013100
11109a68970
126584aa10
13390b5677
1422b56c44
151557e950
hexdd43d2c

232013100 has 144 divisors (see below), whose sum is σ = 738452736. Its totient is φ = 55776000.

The previous prime is 232013081. The next prime is 232013141. The reversal of 232013100 is 1310232.

It is a happy number.

It is a super-2 number, since 2×2320131002 = 107660157143220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550890 + ... + 551310.

It is an arithmetic number, because the mean of its divisors is an integer number (5128144).

Almost surely, 2232013100 is an apocalyptic number.

232013100 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 232013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369226368).

232013100 is an abundant number, since it is smaller than the sum of its proper divisors (506439636).

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

232013100 is a wasteful number, since it uses less digits than its factorization.

232013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 232013100 is about 15231.9762342252. The cubic root of 232013100 is about 614.4749302501.

Adding to 232013100 its reverse (1310232), we get a palindrome (233323332).

The spelling of 232013100 in words is "two hundred thirty-two million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 167 220 275 300 330 334 421 501 550 660 668 825 835 842 1002 1100 1263 1650 1670 1684 1837 2004 2105 2505 2526 3300 3340 3674 4175 4210 4631 5010 5052 5511 6315 7348 8350 8420 9185 9262 10020 10525 11022 12525 12630 13893 16700 18370 18524 21050 22044 23155 25050 25260 27555 27786 31575 36740 42100 45925 46310 50100 55110 55572 63150 69465 70307 91850 92620 110220 115775 126300 137775 138930 140614 183700 210921 231550 275550 277860 281228 347325 351535 421842 463100 551100 694650 703070 773377 843684 1054605 1389300 1406140 1546754 1757675 2109210 2320131 3093508 3515350 3866885 4218420 4640262 5273025 7030700 7733770 9280524 10546050 11600655 15467540 19334425 21092100 23201310 38668850 46402620 58003275 77337700 116006550 232013100