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230889472 = 2111137277
BaseRepresentation
bin11011100001100…
…01100000000000
3121002110101210221
431300301200000
5433101430342
634524432424
75502346102
oct1560614000
9532411727
10230889472
11109370750
12653a8714
1338ab10b8
1422943572
151540ba67
hexdc31800

230889472 has 96 divisors (see below), whose sum is σ = 519114960. Its totient is φ = 101744640.

The previous prime is 230889467. The next prime is 230889487. The reversal of 230889472 is 274988032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 833398 + ... + 833674.

Almost surely, 2230889472 is an apocalyptic number.

230889472 is a gapful number since it is divisible by the number (22) 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 230889472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259557480).

230889472 is an abundant number, since it is smaller than the sum of its proper divisors (288225488).

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

230889472 is a wasteful number, since it uses less digits than its factorization.

230889472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 230889472 is about 15195.0476142722. The cubic root of 230889472 is about 613.4813673343.

It can be divided in two parts, 230889 and 472, that added together give a square (231361 = 4812).

The spelling of 230889472 in words is "two hundred thirty million, eight hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 277 296 352 407 512 554 592 704 814 1024 1108 1184 1408 1628 2048 2216 2368 2816 3047 3256 4432 4736 5632 6094 6512 8864 9472 10249 11264 12188 13024 17728 18944 20498 22528 24376 26048 35456 37888 40996 48752 52096 70912 75776 81992 97504 104192 112739 141824 163984 195008 208384 225478 283648 327968 390016 416768 450956 567296 655936 780032 833536 901912 1311872 1560064 1803824 2623744 3120128 3607648 5247488 6240256 7215296 10494976 14430592 20989952 28861184 57722368 115444736 230889472