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234623125000 = 23571134127
BaseRepresentation
bin1101101010000010100…
…0001100011000001000
3211102121021210200010101
43122200220030120020
512321002010000000
6255441231455144
722644115441255
oct3324050143010
9742537720111
10234623125000
11905597014a0
123957a9874b4
131918143a1a4
14b4da52642c
156182dace6a
hex36a0a0c608

234623125000 has 128 divisors (see below), whose sum is σ = 599904714240. Its totient is φ = 85315000000.

The previous prime is 234623124977. The next prime is 234623125007. The reversal of 234623125000 is 521326432.

It is a self number, because there is not a number n which added to its sum of digits gives 234623125000.

It is not an unprimeable number, because it can be changed into a prime (234623125007) 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 31 ways as a sum of consecutive naturals, for example, 6857937 + ... + 6892063.

It is an arithmetic number, because the mean of its divisors is an integer number (4686755580).

Almost surely, 2234623125000 is an apocalyptic number.

234623125000 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 234623125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299952357120).

234623125000 is an abundant number, since it is smaller than the sum of its proper divisors (365281589240).

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

234623125000 is an frugal number, since it uses more digits than its factorization.

234623125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34179 (or 34145 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 234623125000 in words is "two hundred thirty-four billion, six hundred twenty-three million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2500 2750 3125 5000 5500 6250 6875 11000 12500 13750 15625 25000 27500 31250 34127 34375 55000 62500 68254 68750 78125 125000 136508 137500 156250 170635 171875 273016 275000 312500 341270 343750 375397 625000 682540 687500 750794 853175 859375 1365080 1375000 1501588 1706350 1718750 1876985 3003176 3412700 3437500 3753970 4265875 6825400 6875000 7507940 8531750 9384925 15015880 17063500 18769850 21329375 34127000 37539700 42658750 46924625 75079400 85317500 93849250 106646875 170635000 187698500 213293750 234623125 375397000 426587500 469246250 533234375 853175000 938492500 1066468750 1173115625 1876985000 2132937500 2346231250 2666171875 4265875000 4692462500 5332343750 5865578125 9384925000 10664687500 11731156250 21329375000 23462312500 29327890625 46924625000 58655781250 117311562500 234623125000