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22975000 = 2355919
BaseRepresentation
bin101011110100…
…1001000011000
31121020020202221
41113221020120
521340200000
62140233424
7366166336
oct127511030
947206687
1022975000
1111a72504
12783b874
1349b5599
1430a0b56
15203c61a
hex15e9218

22975000 has 48 divisors (see below), whose sum is σ = 53902800. Its totient is φ = 9180000.

The previous prime is 22974997. The next prime is 22975003. The reversal of 22975000 is 57922.

It is an interprime number because it is at equal distance from previous prime (22974997) and next prime (22975003).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22975003) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24541 + ... + 25459.

It is an arithmetic number, because the mean of its divisors is an integer number (1122975).

Almost surely, 222975000 is an apocalyptic number.

22975000 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 22975000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26951400).

22975000 is an abundant number, since it is smaller than the sum of its proper divisors (30927800).

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

22975000 is an frugal number, since it uses more digits than its factorization.

22975000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 22975000 is about 4793.2243844827. The cubic root of 22975000 is about 284.2836219711.

The spelling of 22975000 in words is "twenty-two million, nine hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 919 1000 1250 1838 2500 3125 3676 4595 5000 6250 7352 9190 12500 18380 22975 25000 36760 45950 91900 114875 183800 229750 459500 574375 919000 1148750 2297500 2871875 4595000 5743750 11487500 22975000