Search a number
-
+
2455230400 = 26527219217
BaseRepresentation
bin1001001001010111…
…1101011111000000
320100002221121221021
42102111331133000
520012014333100
61043344035224
7114562054060
oct22225753700
96302847837
102455230400
11104aa05a37
12586302b14
1330188596c
141941193a0
15e5835a1a
hex9257d7c0

2455230400 has 84 divisors (see below), whose sum is σ = 6904490128. Its totient is φ = 841789440.

The previous prime is 2455230397. The next prime is 2455230403. The reversal of 2455230400 is 40325542.

2455230400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2455230397) and next prime (2455230403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2455230403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98409 + ... + 120808.

Almost surely, 22455230400 is an apocalyptic number.

2455230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2455230400 is an abundant number, since it is smaller than the sum of its proper divisors (4449259728).

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

2455230400 is a wasteful number, since it uses less digits than its factorization.

2455230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219246 (or 219231 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2455230400 is about 49550.2815330044. The cubic root of 2455230400 is about 1349.0584014766.

Adding to 2455230400 its reverse (40325542), we get a palindrome (2495555942).

The spelling of 2455230400 in words is "two billion, four hundred fifty-five million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 219217 438434 876868 1096085 1534519 1753736 2192170 3069038 3507472 4384340 5480425 6138076 7014944 7672595 8768680 10960850 12276152 14029888 15345190 17537360 21921700 24552304 30690380 35074720 38362975 43843400 49104608 61380760 70149440 76725950 87686800 98209216 122761520 153451900 175373600 245523040 306903800 350747200 491046080 613807600 1227615200 2455230400