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232140400 = 24523197193
BaseRepresentation
bin11011101011000…
…10111001110000
3121011210221202121
431311202321300
5433411443100
635011324024
75516106112
oct1565427160
9534727677
10232140400
1110a045578
12658b0614
133912b5ab
1422b8b3b2
15155a751a
hexdd62e70

232140400 has 120 divisors (see below), whose sum is σ = 584657024. Its totient is φ = 88473600.

The previous prime is 232140383. The next prime is 232140409. The reversal of 232140400 is 4041232.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232140409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1202704 + ... + 1202896.

Almost surely, 2232140400 is an apocalyptic number.

232140400 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 232140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292328512).

232140400 is an abundant number, since it is smaller than the sum of its proper divisors (352516624).

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

232140400 is a wasteful number, since it uses less digits than its factorization.

232140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 232140400 is about 15236.1543704440. The cubic root of 232140400 is about 614.5872922341.

Adding to 232140400 its reverse (4041232), we get a palindrome (236181632).

The spelling of 232140400 in words is "two hundred thirty-two million, one hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 97 100 124 155 193 194 200 248 310 386 388 400 485 496 620 772 775 776 965 970 1240 1544 1550 1552 1930 1940 2425 2480 3007 3088 3100 3860 3880 4825 4850 5983 6014 6200 7720 7760 9650 9700 11966 12028 12400 15035 15440 18721 19300 19400 23932 24056 29915 30070 37442 38600 38800 47864 48112 59830 60140 74884 75175 77200 93605 95728 119660 120280 149575 149768 150350 187210 239320 240560 299150 299536 300700 374420 468025 478640 580351 598300 601400 748840 936050 1160702 1196600 1202800 1497680 1872100 2321404 2393200 2901755 3744200 4642808 5803510 7488400 9285616 11607020 14508775 23214040 29017550 46428080 58035100 116070200 232140400