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232145400 = 233523710457
BaseRepresentation
bin11011101011001…
…00000111111000
3121011211012121210
431311210013320
5433412123100
635011403120
75516126514
oct1565440770
9534735553
10232145400
1110a049303
12658b34a0
1339130956
1422b8d144
15155a8c50
hexdd641f8

232145400 has 96 divisors (see below), whose sum is σ = 739171440. Its totient is φ = 60226560.

The previous prime is 232145399. The next prime is 232145423. The reversal of 232145400 is 4541232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16972 + ... + 27428.

Almost surely, 2232145400 is an apocalyptic number.

232145400 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 232145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369585720).

232145400 is an abundant number, since it is smaller than the sum of its proper divisors (507026040).

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

232145400 is a wasteful number, since it uses less digits than its factorization.

232145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10513 (or 10504 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 232145400 is about 15236.3184529597. The cubic root of 232145400 is about 614.5917046707.

Adding to 232145400 its reverse (4541232), we get a palindrome (236686632).

The spelling of 232145400 in words is "two hundred thirty-two million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 10457 11100 20914 22200 31371 41828 52285 62742 83656 104570 125484 156855 209140 250968 261425 313710 386909 418280 522850 627420 773818 784275 1045700 1160727 1254840 1547636 1568550 1934545 2091400 2321454 3095272 3137100 3869090 4642908 5803635 6274200 7738180 9285816 9672725 11607270 15476360 19345450 23214540 29018175 38690900 46429080 58036350 77381800 116072700 232145400