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230473040 = 24571921661
BaseRepresentation
bin11011011110010…
…11110101010000
3121001200020120112
431233023311100
5433000114130
634511500452
75465663030
oct1557136520
9531606515
10230473040
11109106896
1265227728
13389966a5
14228758c0
1515378495
hexdbcbd50

230473040 has 80 divisors (see below), whose sum is σ = 644661120. Its totient is φ = 74856960.

The previous prime is 230473031. The next prime is 230473043. The reversal of 230473040 is 40374032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 230472997 and 230473015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230473043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191 + ... + 21470.

It is an arithmetic number, because the mean of its divisors is an integer number (8058264).

Almost surely, 2230473040 is an apocalyptic number.

230473040 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 230473040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322330560).

230473040 is an abundant number, since it is smaller than the sum of its proper divisors (414188080).

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

230473040 is a wasteful number, since it uses less digits than its factorization.

230473040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21700 (or 21694 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 230473040 is about 15181.3385444104. The cubic root of 230473040 is about 613.1123205994.

The spelling of 230473040 in words is "two hundred thirty million, four hundred seventy-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 21661 43322 86644 108305 151627 173288 216610 303254 346576 411559 433220 606508 758135 823118 866440 1213016 1516270 1646236 1732880 2057795 2426032 2880913 3032540 3292472 4115590 5761826 6065080 6584944 8231180 11523652 12130160 14404565 16462360 23047304 28809130 32924720 46094608 57618260 115236520 230473040