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232142440 = 235371011553
BaseRepresentation
bin11011101011000…
…11011001101000
3121011211001120011
431311203121220
5433412024230
635011341304
75516115055
oct1565433150
9534731504
10232142440
1110a047062
12658b1834
133912c4ba
1422b8c02c
15155a7e2a
hexdd63668

232142440 has 64 divisors (see below), whose sum is σ = 542097360. Its totient is φ = 89395200.

The previous prime is 232142413. The next prime is 232142461. The reversal of 232142440 is 44241232.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 165328164 + 66814276 = 12858^2 + 8174^2 .

It is a super-2 number, since 2×2321424402 = 107780224898307200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148704 + ... + 150256.

Almost surely, 2232142440 is an apocalyptic number.

232142440 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 232142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271048680).

232142440 is an abundant number, since it is smaller than the sum of its proper divisors (309954920).

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

232142440 is a wasteful number, since it uses less digits than its factorization.

232142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 232142440 is about 15236.2213163238. The cubic root of 232142440 is about 614.5890925159.

Adding to 232142440 its reverse (44241232), we get a palindrome (276383672).

The spelling of 232142440 in words is "two hundred thirty-two million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 101 148 185 202 296 370 404 505 740 808 1010 1480 1553 2020 3106 3737 4040 6212 7474 7765 12424 14948 15530 18685 29896 31060 37370 57461 62120 74740 114922 149480 156853 229844 287305 313706 459688 574610 627412 784265 1149220 1254824 1568530 2298440 3137060 5803561 6274120 11607122 23214244 29017805 46428488 58035610 116071220 232142440