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232220640 = 25354311251
BaseRepresentation
bin11011101011101…
…10011111100000
3121011222000211110
431311312133200
5433422030030
635013143320
75516562051
oct1565663740
9534860743
10232220640
1110a09a893
126592ab40
1339158c82
1422bac728
15155c11b0
hexdd767e0

232220640 has 96 divisors (see below), whose sum is σ = 748573056. Its totient is φ = 60480000.

The previous prime is 232220609. The next prime is 232220657. The reversal of 232220640 is 46022232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15015 + ... + 26265.

It is an arithmetic number, because the mean of its divisors is an integer number (7797636).

Almost surely, 2232220640 is an apocalyptic number.

232220640 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 232220640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374286528).

232220640 is an abundant number, since it is smaller than the sum of its proper divisors (516352416).

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

232220640 is a wasteful number, since it uses less digits than its factorization.

232220640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11312 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 232220640 is about 15238.7873533297. The cubic root of 232220640 is about 614.6580953680.

Adding to 232220640 its reverse (46022232), we get a palindrome (278242872).

The spelling of 232220640 in words is "two hundred thirty-two million, two hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 10320 11251 20640 22502 33753 45004 56255 67506 90008 112510 135012 168765 180016 225020 270024 337530 360032 450040 483793 540048 675060 900080 967586 1080096 1350120 1451379 1800160 1935172 2418965 2700240 2902758 3870344 4837930 5400480 5805516 7256895 7740688 9675860 11611032 14513790 15481376 19351720 23222064 29027580 38703440 46444128 58055160 77406880 116110320 232220640