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22500000 = 253257
BaseRepresentation
bin101010111010…
…1001010100000
31120100010012100
41111311022200
521230000000
62122130400
7362150445
oct125651240
946303170
1022500000
1111778646
127650a00
13487a313
142db99cc
151e96a00
hex15752a0

22500000 has 144 divisors (see below), whose sum is σ = 79980264. Its totient is φ = 6000000.

The previous prime is 22499999. The next prime is 22500011. The reversal of 22500000 is 522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 13571856 + 8928144 = 3684^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4499998 + ... + 4500002.

Almost surely, 222500000 is an apocalyptic number.

22500000 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 22500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39990132).

22500000 is an abundant number, since it is smaller than the sum of its proper divisors (57480264).

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

22500000 is an frugal number, since it uses more digits than its factorization.

22500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 22500000 is about 4743.4164902526. The cubic root of 22500000 is about 282.3108086643.

Adding to 22500000 its reverse (522), we get a palindrome (22500522).

The spelling of 22500000 in words is "twenty-two million, five hundred thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 625 720 750 800 900 1000 1125 1200 1250 1440 1500 1800 1875 2000 2250 2400 2500 3000 3125 3600 3750 4000 4500 5000 5625 6000 6250 7200 7500 9000 9375 10000 11250 12000 12500 15000 15625 18000 18750 20000 22500 25000 28125 30000 31250 36000 37500 45000 46875 50000 56250 60000 62500 75000 78125 90000 93750 100000 112500 125000 140625 150000 156250 180000 187500 225000 234375 250000 281250 300000 312500 375000 450000 468750 500000 562500 625000 703125 750000 900000 937500 1125000 1250000 1406250 1500000 1875000 2250000 2500000 2812500 3750000 4500000 5625000 7500000 11250000 22500000