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233441130 = 235131813307
BaseRepresentation
bin11011110101000…
…00011101101010
3121021021001000210
431322200131222
5434230104010
635055241550
75533134246
oct1572403552
9537231023
10233441130
1110a85385a
12662192b6
1339495660
1423009426
1515762b20
hexdea076a

233441130 has 64 divisors (see below), whose sum is σ = 606872448. Its totient is φ = 57127680.

The previous prime is 233441123. The next prime is 233441137. The reversal of 233441130 is 31144332.

It is an interprime number because it is at equal distance from previous prime (233441123) and next prime (233441137).

It is a super-2 number, since 2×2334411302 = 108989522351353800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233441097 and 233441106.

It is not an unprimeable number, because it can be changed into a prime (233441137) 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, 68937 + ... + 72243.

It is an arithmetic number, because the mean of its divisors is an integer number (9482382).

Almost surely, 2233441130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233441130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303436224).

233441130 is an abundant number, since it is smaller than the sum of its proper divisors (373431318).

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

233441130 is a wasteful number, since it uses less digits than its factorization.

233441130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 233441130 is about 15278.7803832636. The cubic root of 233441130 is about 615.7330409124.

Adding to 233441130 its reverse (31144332), we get a palindrome (264585462).

The spelling of 233441130 in words is "two hundred thirty-three million, four hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 181 195 362 390 543 905 1086 1810 2353 2715 3307 4706 5430 6614 7059 9921 11765 14118 16535 19842 23530 33070 35295 42991 49605 70590 85982 99210 128973 214955 257946 429910 598567 644865 1197134 1289730 1795701 2992835 3591402 5985670 7781371 8978505 15562742 17957010 23344113 38906855 46688226 77813710 116720565 233441130