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195230448 = 243271711393
BaseRepresentation
bin10111010001011…
…11101011110000
3111121100201211100
423220233223300
5344434333243
631212244400
74560300660
oct1350575360
9447321740
10195230448
11a0225586
1255470700
13315a739a
141bd001a0
15122160d3
hexba2faf0

195230448 has 120 divisors (see below), whose sum is σ = 661216608. Its totient is φ = 52494336.

The previous prime is 195230447. The next prime is 195230471. The reversal of 195230448 is 844032591.

195230448 is a `hidden beast` number, since 195 + 23 + 0 + 448 = 666.

It is a super-2 number, since 2×1952304482 = 76229855652561408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195230443) 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, 11440 + ... + 22832.

Almost surely, 2195230448 is an apocalyptic number.

195230448 is a gapful number since it is divisible by the number (18) 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 195230448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330608304).

195230448 is an abundant number, since it is smaller than the sum of its proper divisors (465986160).

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

195230448 is a wasteful number, since it uses less digits than its factorization.

195230448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11431 (or 11422 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 195230448 is about 13972.4889693998. The cubic root of 195230448 is about 580.1173444699.

It can be divided in two parts, 1952 and 30448, that added together give a square (32400 = 1802).

The spelling of 195230448 in words is "one hundred ninety-five million, two hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 11393 17136 22786 34179 45572 68358 79751 91144 102537 136716 159502 182288 193681 205074 239253 273432 319004 387362 410148 478506 546864 581043 638008 717759 774724 820296 957012 1162086 1276016 1355767 1435518 1549448 1640592 1743129 1914024 2324172 2711534 2871036 3098896 3486258 3828048 4067301 4648344 5423068 5742072 6972516 8134602 9296688 10846136 11484144 12201903 13945032 16269204 21692272 24403806 27890064 32538408 48807612 65076816 97615224 195230448