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23250000 = 2435631
BaseRepresentation
bin101100010110…
…0010001010000
31121202020000010
41120230101100
521423000000
62150154520
7401423154
oct130542120
947666003
1023250000
1112140084
127952a40
134a807c7
143133064
152093d50
hex162c450

23250000 has 140 divisors (see below), whose sum is σ = 77499008. Its totient is φ = 6000000.

The previous prime is 23249983. The next prime is 23250001. The reversal of 23250000 is 5232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23250001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 749985 + ... + 750015.

Almost surely, 223250000 is an apocalyptic number.

23250000 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 23250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38749504).

23250000 is an abundant number, since it is smaller than the sum of its proper divisors (54249008).

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

23250000 is an frugal number, since it uses more digits than its factorization.

23250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 23250000 is about 4821.8253804965. The cubic root of 23250000 is about 285.4133736692.

Adding to 23250000 its reverse (5232), we get a palindrome (23255232).

The spelling of 23250000 in words is "twenty-three million, two hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 240 248 250 300 310 372 375 400 465 496 500 600 620 625 744 750 775 930 1000 1200 1240 1250 1488 1500 1550 1860 1875 2000 2325 2480 2500 3000 3100 3125 3720 3750 3875 4650 5000 6000 6200 6250 7440 7500 7750 9300 9375 10000 11625 12400 12500 15000 15500 15625 18600 18750 19375 23250 25000 30000 31000 31250 37200 37500 38750 46500 46875 50000 58125 62000 62500 75000 77500 93000 93750 96875 116250 125000 150000 155000 186000 187500 193750 232500 250000 290625 310000 375000 387500 465000 484375 581250 750000 775000 930000 968750 1162500 1453125 1550000 1937500 2325000 2906250 3875000 4650000 5812500 7750000 11625000 23250000