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242231232 = 26317471579
BaseRepresentation
bin11100111000000…
…10011111000000
3121212210121210010
432130002133000
5444002344412
640011504520
76000634335
oct1634023700
9555717703
10242231232
11114807a01
1269158140
133b2525b9
142425698c
15163ec33c
hexe7027c0

242231232 has 112 divisors (see below), whose sum is σ = 693480960. Its totient is φ = 74330112.

The previous prime is 242231221. The next prime is 242231243. The reversal of 242231232 is 232132242.

It is an interprime number because it is at equal distance from previous prime (242231221) and next prime (242231243).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 242231199 and 242231208.

It is a congruent number.

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, 152619 + ... + 154197.

Almost surely, 2242231232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346740480).

242231232 is an abundant number, since it is smaller than the sum of its proper divisors (451249728).

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

242231232 is a wasteful number, since it uses less digits than its factorization.

242231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1648 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 242231232 is about 15563.7794895713. The cubic root of 242231232 is about 623.3663851107.

Adding to 242231232 its reverse (232132242), we get a palindrome (474363474).

The spelling of 242231232 in words is "two hundred forty-two million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 64 68 94 96 102 136 141 188 192 204 272 282 376 408 544 564 752 799 816 1088 1128 1504 1579 1598 1632 2256 2397 3008 3158 3196 3264 4512 4737 4794 6316 6392 9024 9474 9588 12632 12784 18948 19176 25264 25568 26843 37896 38352 50528 51136 53686 74213 75792 76704 80529 101056 107372 148426 151584 153408 161058 214744 222639 296852 303168 322116 429488 445278 593704 644232 858976 890556 1187408 1261621 1288464 1717952 1781112 2374816 2523242 2576928 3562224 3784863 4749632 5046484 5153856 7124448 7569726 10092968 14248896 15139452 20185936 30278904 40371872 60557808 80743744 121115616 242231232