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32250000 = 2435643
BaseRepresentation
bin111101100000…
…1100010010000
32020200110200110
41323001202100
531224000000
63111121320
7541056216
oct173014220
966613613
1032250000
11172279a2
12a973240
1368b2153
1443d6cb6
152c70850
hex1ec1890

32250000 has 140 divisors (see below), whose sum is σ = 106561136. Its totient is φ = 8400000.

The previous prime is 32249993. The next prime is 32250041. The reversal of 32250000 is 5223.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 749979 + ... + 750021.

Almost surely, 232250000 is an apocalyptic number.

32250000 is a gapful number since it is divisible by the number (30) 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 32250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53280568).

32250000 is an abundant number, since it is smaller than the sum of its proper divisors (74311136).

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

32250000 is an frugal number, since it uses more digits than its factorization.

32250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

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

The square root of 32250000 is about 5678.9083458003. The cubic root of 32250000 is about 318.3048380208.

Adding to 32250000 its reverse (5223), we get a palindrome (32255223).

It can be divided in two parts, 32 and 250000, that multiplied together give a cube (8000000 = 2003).

The spelling of 32250000 in words is "thirty-two million, two hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 125 129 150 172 200 215 240 250 258 300 344 375 400 430 500 516 600 625 645 688 750 860 1000 1032 1075 1200 1250 1290 1500 1720 1875 2000 2064 2150 2500 2580 3000 3125 3225 3440 3750 4300 5000 5160 5375 6000 6250 6450 7500 8600 9375 10000 10320 10750 12500 12900 15000 15625 16125 17200 18750 21500 25000 25800 26875 30000 31250 32250 37500 43000 46875 50000 51600 53750 62500 64500 75000 80625 86000 93750 107500 125000 129000 134375 150000 161250 187500 215000 250000 258000 268750 322500 375000 403125 430000 537500 645000 671875 750000 806250 1075000 1290000 1343750 1612500 2015625 2150000 2687500 3225000 4031250 5375000 6450000 8062500 10750000 16125000 32250000