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22393000 = 235372457
BaseRepresentation
bin101010101101…
…1000010101000
31120010200102101
41111123002220
521213034000
62115543144
7361223500
oct125330250
946120371
1022393000
1111705213
1275baab4
1348406c6
142d8ca00
151e74e6a
hex155b0a8

22393000 has 96 divisors (see below), whose sum is σ = 61088040. Its totient is φ = 7660800.

The previous prime is 22392989. The next prime is 22393073. The reversal of 22393000 is 39322.

It can be written as a sum of positive squares in 4 ways, for example, as 11009124 + 11383876 = 3318^2 + 3374^2 .

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, 48772 + ... + 49228.

Almost surely, 222393000 is an apocalyptic number.

22393000 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 22393000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30544020).

22393000 is an abundant number, since it is smaller than the sum of its proper divisors (38695040).

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

22393000 is a wasteful number, since it uses less digits than its factorization.

22393000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 22393000 is about 4732.1242587236. The cubic root of 22393000 is about 281.8625824786.

The spelling of 22393000 in words is "twenty-two million, three hundred ninety-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 457 490 500 700 875 914 980 1000 1225 1400 1750 1828 1960 2285 2450 3199 3500 3656 4570 4900 6125 6398 7000 9140 9800 11425 12250 12796 15995 18280 22393 22850 24500 25592 31990 44786 45700 49000 57125 63980 79975 89572 91400 111965 114250 127960 159950 179144 223930 228500 319900 399875 447860 457000 559825 639800 799750 895720 1119650 1599500 2239300 2799125 3199000 4478600 5598250 11196500 22393000