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232000114300 = 22528336776163
BaseRepresentation
bin1101100000010001001…
…0001100111001111100
3211011211111010220212221
43120010102030321330
512300114012124200
6254325051335124
722522115301613
oct3300422147174
9734744126787
10232000114300
118a43301a759
1238b684514a4
1318b53b9b656
14b32c01487a
15607c98491a
hex360448ce7c

232000114300 has 72 divisors (see below), whose sum is σ = 510900800256. Its totient is φ = 91430957760.

The previous prime is 232000114249. The next prime is 232000114319. The reversal of 232000114300 is 3411000232.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3008019 + ... + 3084181.

It is an arithmetic number, because the mean of its divisors is an integer number (7095844448).

Almost surely, 2232000114300 is an apocalyptic number.

232000114300 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 232000114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255450400128).

232000114300 is an abundant number, since it is smaller than the sum of its proper divisors (278900685956).

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

232000114300 is a wasteful number, since it uses less digits than its factorization.

232000114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76627 (or 76620 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 232000114300 its reverse (3411000232), we get a palindrome (235411114532).

The spelling of 232000114300 in words is "two hundred thirty-two billion, one hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 367 415 734 830 1468 1660 1835 2075 3670 4150 7340 8300 9175 18350 30461 36700 60922 76163 121844 152305 152326 304610 304652 380815 609220 761525 761630 1523050 1523260 1904075 3046100 3808150 6321529 7616300 12643058 25286116 27951821 31607645 55903642 63215290 111807284 126430580 139759105 158038225 279518210 316076450 559036420 632152900 698795525 1397591050 2320001143 2795182100 4640002286 9280004572 11600005715 23200011430 46400022860 58000028575 116000057150 232000114300