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232003041400 = 235213409218171
BaseRepresentation
bin1101100000010001110…
…1010111100001111000
3211011211200122122010001
43120010131113201320
512300120234311100
6254325234202344
722522152212464
oct3300435274170
9734750578101
10232003041400
118a434739949
1238b694233b4
1318b54684a70
14b32c5774a4
15607cd61d6a
hex3604757878

232003041400 has 96 divisors (see below), whose sum is σ = 582322885200. Its totient is φ = 85452825600.

The previous prime is 232003041397. The next prime is 232003041407. The reversal of 232003041400 is 4140300232.

It is a super-2 number, since 2×2320030414002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232003041407) 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, 954315 + ... + 1172485.

Almost surely, 2232003041400 is an apocalyptic number.

232003041400 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 232003041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291161442600).

232003041400 is an abundant number, since it is smaller than the sum of its proper divisors (350319843800).

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

232003041400 is a wasteful number, since it uses less digits than its factorization.

232003041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218609 (or 218600 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 232003041400 its reverse (4140300232), we get a palindrome (236143341632).

The spelling of 232003041400 in words is "two hundred thirty-two billion, three million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 409 520 650 818 1300 1636 2045 2600 3272 4090 5317 8180 10225 10634 16360 20450 21268 26585 40900 42536 53170 81800 106340 132925 212680 218171 265850 436342 531700 872684 1063400 1090855 1745368 2181710 2836223 4363420 5454275 5672446 8726840 10908550 11344892 14181115 21817100 22689784 28362230 43634200 56724460 70905575 89231939 113448920 141811150 178463878 283622300 356927756 446159695 567244600 713855512 892319390 1160015207 1784638780 2230798475 2320030414 3569277560 4461596950 4640060828 5800076035 8923193900 9280121656 11600152070 17846387800 23200304140 29000380175 46400608280 58000760350 116001520700 232003041400