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229232640 = 2123571341
BaseRepresentation
bin11011010100111…
…01000000000000
3120222100020001210
431222131000000
5432140421030
634425130120
75452305510
oct1552350000
9528306053
10229232640
1110843996a
1264929940
1338650c20
1422631840
15151d0bb0
hexda9d000

229232640 has 416 divisors, whose sum is σ = 924731136. Its totient is φ = 47185920.

The previous prime is 229232611. The next prime is 229232657. The reversal of 229232640 is 46232922.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 229232598 and 229232607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5591020 + ... + 5591060.

Almost surely, 2229232640 is an apocalyptic number.

229232640 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 229232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462365568).

229232640 is an abundant number, since it is smaller than the sum of its proper divisors (695498496).

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

229232640 is a wasteful number, since it uses less digits than its factorization.

229232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 229232640 is about 15140.4306411674. The cubic root of 229232640 is about 612.0104231639.

The spelling of 229232640 in words is "two hundred twenty-nine million, two hundred thirty-two thousand, six hundred forty".