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229650432 = 2123111699
BaseRepresentation
bin11011011000000…
…11000000000000
3121000010110011120
431230003000000
5432242303212
634442112240
75455665534
oct1554030000
9530113146
10229650432
111086a4850
1264aab680
133876913b
14226ddbc4
151526488c
hexdb03000

229650432 has 104 divisors (see below), whose sum is σ = 668385600. Its totient is φ = 69550080.

The previous prime is 229650419. The next prime is 229650437. The reversal of 229650432 is 234056922.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 229650393 and 229650402.

It is not an unprimeable number, because it can be changed into a prime (229650437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134319 + ... + 136017.

Almost surely, 2229650432 is an apocalyptic number.

229650432 is a gapful number since it is divisible by the number (22) 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 229650432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334192800).

229650432 is an abundant number, since it is smaller than the sum of its proper divisors (438735168).

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

229650432 is a wasteful number, since it uses less digits than its factorization.

229650432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 229650432 is about 15154.2215900389. The cubic root of 229650432 is about 612.3820076476.

The spelling of 229650432 in words is "two hundred twenty-nine million, six hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 1699 2048 2112 2816 3072 3398 4096 4224 5097 5632 6144 6796 8448 10194 11264 12288 13592 16896 18689 20388 22528 27184 33792 37378 40776 45056 54368 56067 67584 74756 81552 108736 112134 135168 149512 163104 217472 224268 299024 326208 434944 448536 598048 652416 869888 897072 1196096 1304832 1739776 1794144 2392192 2609664 3479552 3588288 4784384 5219328 6959104 7176576 9568768 10438656 14353152 19137536 20877312 28706304 38275072 57412608 76550144 114825216 229650432