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200401432 = 237111132879
BaseRepresentation
bin10111111000111…
…10001000011000
3111222002110002021
423330132020120
5402300321212
631515144224
74652245510
oct1374361030
9458073067
10200401432
11a3137620
1257145074
1332697c3a
141c888840
15128d8307
hexbf1e218

200401432 has 64 divisors (see below), whose sum is σ = 472780800. Its totient is φ = 77360640.

The previous prime is 200401429. The next prime is 200401447. The reversal of 200401432 is 234104002.

200401432 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68169 + ... + 71047.

It is an arithmetic number, because the mean of its divisors is an integer number (7387200).

Almost surely, 2200401432 is an apocalyptic number.

200401432 is a gapful number since it is divisible by the number (22) 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 200401432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236390400).

200401432 is an abundant number, since it is smaller than the sum of its proper divisors (272379368).

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

200401432 is a wasteful number, since it uses less digits than its factorization.

200401432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 3012 counting only the distinct ones).

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

The square root of 200401432 is about 14156.3212735513. The cubic root of 200401432 is about 585.1945509200.

Adding to 200401432 its reverse (234104002), we get a palindrome (434505434).

The spelling of 200401432 in words is "two hundred million, four hundred one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 113 154 226 308 452 616 791 904 1243 1582 2486 2879 3164 4972 5758 6328 8701 9944 11516 17402 20153 23032 31669 34804 40306 63338 69608 80612 126676 161224 221683 253352 325327 443366 650654 886732 1301308 1773464 2277289 2602616 3578597 4554578 7157194 9109156 14314388 18218312 25050179 28628776 50100358 100200716 200401432