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232242000 = 2435338707
BaseRepresentation
bin11011101011110…
…11101101010000
3121012000010010120
431311323231100
5433423221000
635013430240
75520011244
oct1565735520
9535003116
10232242000
1110a104941
126593b380
1339165903
1422bb6424
15155c76a0
hexdd7bb50

232242000 has 80 divisors (see below), whose sum is σ = 748767552. Its totient is φ = 61929600.

The previous prime is 232241963. The next prime is 232242037. The reversal of 232242000 is 242232.

It is an interprime number because it is at equal distance from previous prime (232241963) and next prime (232242037).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 13354 + ... + 25353.

Almost surely, 2232242000 is an apocalyptic number.

232242000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232242000 is an abundant number, since it is smaller than the sum of its proper divisors (516525552).

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

232242000 is a wasteful number, since it uses less digits than its factorization.

232242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38733 (or 38717 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 232242000 is about 15239.4881803819. The cubic root of 232242000 is about 614.6769405123.

Adding to 232242000 its reverse (242232), we get a palindrome (232484232).

The spelling of 232242000 in words is "two hundred thirty-two million, two hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 38707 77414 116121 154828 193535 232242 309656 387070 464484 580605 619312 774140 928968 967675 1161210 1548280 1857936 1935350 2322420 2903025 3096560 3870700 4644840 4838375 5806050 7741400 9289680 9676750 11612100 14515125 15482800 19353500 23224200 29030250 38707000 46448400 58060500 77414000 116121000 232242000