Search a number
-
+
2425531300 = 2252374159271
BaseRepresentation
bin1001000010010010…
…1010101110100100
320021001001202102121
42100210222232210
514431414000200
61040403315324
7114051450553
oct22044525644
96231052377
102425531300
111035170625
1257837bb44
132c868792a
141901c7d9a
15e2e1ae1a
hex9092aba4

2425531300 has 144 divisors (see below), whose sum is σ = 5652138240. Its totient is φ = 902016000.

The previous prime is 2425531289. The next prime is 2425531307. The reversal of 2425531300 is 31355242.

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

It is not an unprimeable number, because it can be changed into a prime (2425531307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8950165 + ... + 8950435.

It is an arithmetic number, because the mean of its divisors is an integer number (39250960).

Almost surely, 22425531300 is an apocalyptic number.

2425531300 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 2425531300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826069120).

2425531300 is an abundant number, since it is smaller than the sum of its proper divisors (3226606940).

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

2425531300 is a wasteful number, since it uses less digits than its factorization.

2425531300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 2425531300 is about 49249.6832477124. The cubic root of 2425531300 is about 1343.5968008508.

Adding to 2425531300 its reverse (31355242), we get a palindrome (2456886542).

It can be divided in two parts, 24255 and 31300, that added together give a palindrome (55555).

The spelling of 2425531300 in words is "two billion, four hundred twenty-five million, five hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 41 50 59 74 82 100 118 148 164 185 205 236 271 295 370 410 542 590 740 820 925 1025 1084 1180 1355 1475 1517 1850 2050 2183 2419 2710 2950 3034 3700 4100 4366 4838 5420 5900 6068 6775 7585 8732 9676 10027 10915 11111 12095 13550 15170 15989 20054 21830 22222 24190 27100 30340 31978 37925 40108 43660 44444 48380 50135 54575 55555 60475 63956 75850 79945 89503 100270 109150 111110 120950 151700 159890 179006 200540 218300 222220 241900 250675 277775 319780 358012 399725 411107 447515 501350 555550 591593 655549 799450 822214 895030 1002700 1111100 1183186 1311098 1598900 1644428 1790060 2055535 2237575 2366372 2622196 2957965 3277745 4111070 4475150 5915930 6555490 8222140 8950300 10277675 11831860 13110980 14789825 16388725 20555350 24255313 29579650 32777450 41110700 48510626 59159300 65554900 97021252 121276565 242553130 485106260 606382825 1212765650 2425531300