Search a number
-
+
255197600 = 25527199229
BaseRepresentation
bin11110011011000…
…00000110100000
3122210012101021222
433031200012200
51010312310400
641153434212
76216100220
oct1715400640
9583171258
10255197600
11121063809
127156b968
1340b423c8
1425c70080
151760e185
hexf3601a0

255197600 has 144 divisors (see below), whose sum is σ = 718704000. Its totient is φ = 86676480.

The previous prime is 255197567. The next prime is 255197633. The reversal of 255197600 is 6791552.

It is an interprime number because it is at equal distance from previous prime (255197567) and next prime (255197633).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1114286 + ... + 1114514.

It is an arithmetic number, because the mean of its divisors is an integer number (4991000).

Almost surely, 2255197600 is an apocalyptic number.

255197600 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 255197600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359352000).

255197600 is an abundant number, since it is smaller than the sum of its proper divisors (463506400).

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

255197600 is a wasteful number, since it uses less digits than its factorization.

255197600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 255197600 is about 15974.9053205332. The cubic root of 255197600 is about 634.2963251053.

The spelling of 255197600 in words is "two hundred fifty-five million, one hundred ninety-seven thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 199 200 224 229 280 350 398 400 458 560 700 796 800 916 995 1120 1145 1393 1400 1592 1603 1832 1990 2290 2786 2800 3184 3206 3664 3980 4580 4975 5572 5600 5725 6368 6412 6965 7328 7960 8015 9160 9950 11144 11450 12824 13930 15920 16030 18320 19900 22288 22900 25648 27860 31840 32060 34825 36640 39800 40075 44576 45571 45800 51296 55720 64120 69650 79600 80150 91142 91600 111440 128240 139300 159200 160300 182284 183200 222880 227855 256480 278600 318997 320600 364568 455710 557200 637994 641200 729136 911420 1114400 1139275 1275988 1282400 1458272 1594985 1822840 2278550 2551976 3189970 3645680 4557100 5103952 6379940 7291360 7974925 9114200 10207904 12759880 15949850 18228400 25519760 31899700 36456800 51039520 63799400 127598800 255197600