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231545400 = 233521921069
BaseRepresentation
bin11011100110100…
…01101000111000
3121010200201120120
431303101220320
5433233423100
634550453240
75511050322
oct1563215070
9533621516
10231545400
11109779539
1265664220
1338c80818
1422a74612
15154db0a0
hexdcd1a38

231545400 has 144 divisors (see below), whose sum is σ = 758266200. Its totient is φ = 58440960.

The previous prime is 231545399. The next prime is 231545401. The reversal of 231545400 is 4545132.

231545400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231545399) and next prime (231545401).

It is a super-2 number, since 2×2315454002 = 107226544522320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231545401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 216066 + ... + 217134.

Almost surely, 2231545400 is an apocalyptic number.

231545400 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 231545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379133100).

231545400 is an abundant number, since it is smaller than the sum of its proper divisors (526720800).

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

231545400 is a wasteful number, since it uses less digits than its factorization.

231545400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 231545400 is about 15216.6159181337. The cubic root of 231545400 is about 614.0617592530.

The spelling of 231545400 in words is "two hundred thirty-one million, five hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 361 380 456 475 570 600 722 760 950 1069 1083 1140 1425 1444 1805 1900 2138 2166 2280 2850 2888 3207 3610 3800 4276 4332 5345 5415 5700 6414 7220 8552 8664 9025 10690 10830 11400 12828 14440 16035 18050 20311 21380 21660 25656 26725 27075 32070 36100 40622 42760 43320 53450 54150 60933 64140 72200 80175 81244 101555 106900 108300 121866 128280 160350 162488 203110 213800 216600 243732 304665 320700 385909 406220 487464 507775 609330 641400 771818 812440 1015550 1157727 1218660 1523325 1543636 1929545 2031100 2315454 2437320 3046650 3087272 3859090 4062200 4630908 5788635 6093300 7718180 9261816 9647725 11577270 12186600 15436360 19295450 23154540 28943175 38590900 46309080 57886350 77181800 115772700 231545400