Search a number
-
+
234455445200 = 24528325432777
BaseRepresentation
bin1101101001011010100…
…0100010111011010000
3211102011121021122200102
43122112220202323100
512320131043221300
6255412441511532
722640011255004
oct3322650427320
9742147248612
10234455445200
1190482a94149
12395327a25a8
131915578ac82
14b4c2158704
1561732da0d5
hex3696a22ed0

234455445200 has 120 divisors (see below), whose sum is σ = 570495235968. Its totient is φ = 92582487040.

The previous prime is 234455445197. The next prime is 234455445241. The reversal of 234455445200 is 2544554432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84426212 + ... + 84428988.

Almost surely, 2234455445200 is an apocalyptic number.

234455445200 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 234455445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285247617984).

234455445200 is an abundant number, since it is smaller than the sum of its proper divisors (336039790768).

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

234455445200 is a wasteful number, since it uses less digits than its factorization.

234455445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 38.

Adding to 234455445200 its reverse (2544554432), we get a palindrome (236999999632).

It can be divided in two parts, 23445 and 5445200, that added together give a palindrome (5468645).

The spelling of 234455445200 in words is "two hundred thirty-four billion, four hundred fifty-five million, four hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 166 200 332 400 415 664 830 1328 1660 2075 2543 2777 3320 4150 5086 5554 6640 8300 10172 11108 12715 13885 16600 20344 22216 25430 27770 33200 40688 44432 50860 55540 63575 69425 101720 111080 127150 138850 203440 211069 222160 230491 254300 277700 422138 460982 508600 555400 844276 921964 1017200 1055345 1110800 1152455 1688552 1843928 2110690 2304910 3377104 3687856 4221380 4609820 5276725 5762275 7061911 8442760 9219640 10553450 11524550 14123822 16885520 18439280 21106900 23049100 28247644 35309555 42213800 46098200 56495288 70619110 84427600 92196400 112990576 141238220 176547775 282476440 353095550 564952880 586138613 706191100 1172277226 1412382200 2344554452 2824764400 2930693065 4689108904 5861386130 9378217808 11722772260 14653465325 23445544520 29306930650 46891089040 58613861300 117227722600 234455445200