Search a number
-
+
235413244000 = 2553112486391
BaseRepresentation
bin1101101100111110111…
…0010000100001100000
3211111122100112212122001
43123033232100201200
512324111242302000
6300051454453344
723002521362224
oct3331756204140
9744570485561
10235413244000
1190924703600
123975b504254
131927904071c
14b57343c784
1561cc43246a
hex36cfb90860

235413244000 has 144 divisors (see below), whose sum is σ = 635774656608. Its totient is φ = 85604640000.

The previous prime is 235413243979. The next prime is 235413244009. The reversal of 235413244000 is 442314532.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 235413244000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235413244009) 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, 240805 + ... + 727195.

It is an arithmetic number, because the mean of its divisors is an integer number (4415101782).

Almost surely, 2235413244000 is an apocalyptic number.

235413244000 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 235413244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317887328304).

235413244000 is an abundant number, since it is smaller than the sum of its proper divisors (400361412608).

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

235413244000 is a wasteful number, since it uses less digits than its factorization.

235413244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486438 (or 486409 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 235413244000 its reverse (442314532), we get a palindrome (235855558532).

The spelling of 235413244000 in words is "two hundred thirty-five billion, four hundred thirteen million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 550 605 800 880 968 1000 1100 1210 1375 1760 1936 2000 2200 2420 2750 3025 3872 4000 4400 4840 5500 6050 8800 9680 11000 12100 15125 19360 22000 24200 30250 44000 48400 60500 96800 121000 242000 484000 486391 972782 1945564 2431955 3891128 4863910 5350301 7782256 9727820 10700602 12159775 15564512 19455640 21401204 24319550 26751505 38911280 42802408 48639100 53503010 58853311 60798875 77822560 85604816 97278200 107006020 117706622 121597750 133757525 171209632 194556400 214012040 235413244 243195500 267515050 294266555 389112800 428024080 470826488 486391000 535030100 588533110 668787625 856048160 941652976 972782000 1070060200 1177066220 1337575250 1471332775 1883305952 1945564000 2140120400 2354132440 2675150500 2942665550 4280240800 4708264880 5350301000 5885331100 7356663875 9416529760 10700602000 11770662200 14713327750 21401204000 23541324400 29426655500 47082648800 58853311000 117706622000 235413244000