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238925000 = 235519503
BaseRepresentation
bin11100011110110…
…11010011001000
3121122120122111002
432033123103020
5442131100000
635412554132
75630554226
oct1617332310
9548518432
10238925000
11112959986
1268022948
133a665752
1423a35b16
1515e978d5
hexe3db4c8

238925000 has 96 divisors (see below), whose sum is σ = 590587200. Its totient is φ = 90360000.

The previous prime is 238924969. The next prime is 238925009. The reversal of 238925000 is 529832.

It is not an unprimeable number, because it can be changed into a prime (238925009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474749 + ... + 475251.

It is an arithmetic number, because the mean of its divisors is an integer number (6151950).

Almost surely, 2238925000 is an apocalyptic number.

238925000 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 238925000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295293600).

238925000 is an abundant number, since it is smaller than the sum of its proper divisors (351662200).

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

238925000 is an equidigital number, since it uses as much as digits as its factorization.

238925000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 238925000 is about 15457.1989700592. The cubic root of 238925000 is about 620.5172582443.

The spelling of 238925000 in words is "two hundred thirty-eight million, nine hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 503 625 760 950 1000 1006 1250 1900 2012 2375 2500 2515 3125 3800 4024 4750 5000 5030 6250 9500 9557 10060 11875 12500 12575 19000 19114 20120 23750 25000 25150 38228 47500 47785 50300 59375 62875 76456 95000 95570 100600 118750 125750 191140 237500 238925 251500 314375 382280 475000 477850 503000 628750 955700 1194625 1257500 1571875 1911400 2389250 2515000 3143750 4778500 5973125 6287500 9557000 11946250 12575000 23892500 29865625 47785000 59731250 119462500 238925000