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1332250000 = 2456732
BaseRepresentation
bin100111101101000…
…1000010110010000
310102211212022102121
41033122020112100
510212024000000
6340110424024
745004636534
oct11732102620
93384768377
101332250000
11624025164
12312202014
1318301a113
14c8d17bc4
157be60b1a
hex4f688590

1332250000 has 105 divisors (see below), whose sum is σ = 3271305783. Its totient is φ = 525600000.

The previous prime is 1332249911. The next prime is 1332250001. The reversal of 1332250000 is 522331.

The square root of 1332250000 is 36500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 1168819344 + 163430656 = 34188^2 + 12784^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1332250001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 18249964 + ... + 18250036.

Almost surely, 21332250000 is an apocalyptic number.

1332250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1332250000 is the 36500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332250000

1332250000 is an abundant number, since it is smaller than the sum of its proper divisors (1939055783).

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

1332250000 is an frugal number, since it uses more digits than its factorization.

1332250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The cubic root of 1332250000 is about 1100.3442448744.

Multiplying 1332250000 by its sum of digits (16), we get a square (21316000000 = 1460002).

1332250000 divided by its sum of digits (16) gives a square (83265625 = 91252).

Adding to 1332250000 its reverse (522331), we get a palindrome (1332772331).

The spelling of 1332250000 in words is "one billion, three hundred thirty-two million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 625 730 1000 1168 1250 1460 1825 2000 2500 2920 3125 3650 5000 5329 5840 6250 7300 9125 10000 10658 12500 14600 15625 18250 21316 25000 26645 29200 31250 36500 42632 45625 50000 53290 62500 73000 85264 91250 106580 125000 133225 146000 182500 213160 228125 250000 266450 365000 426320 456250 532900 666125 730000 912500 1065800 1140625 1332250 1825000 2131600 2281250 2664500 3330625 3650000 4562500 5329000 6661250 9125000 10658000 13322500 16653125 18250000 26645000 33306250 53290000 66612500 83265625 133225000 166531250 266450000 333062500 666125000 1332250000