Search a number
-
+
266197400 = 235272231181
BaseRepresentation
bin11111101110111…
…01100110011000
3200112220020011222
433313131212120
51021121304100
642225311212
76411432500
oct1767354630
9615806158
10266197400
11127297057
1275195508
13431c4071
14274d4a00
1518583485
hexfddd998

266197400 has 144 divisors (see below), whose sum is σ = 751893840. Its totient is φ = 87225600.

The previous prime is 266197381. The next prime is 266197411. The reversal of 266197400 is 4791662.

It is a super-2 number, since 2×2661974002 = 141722111533520000, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 224810 + ... + 225990.

It is an arithmetic number, because the mean of its divisors is an integer number (5221485).

Almost surely, 2266197400 is an apocalyptic number.

266197400 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 266197400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375946920).

266197400 is an abundant number, since it is smaller than the sum of its proper divisors (485696440).

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

266197400 is a wasteful number, since it uses less digits than its factorization.

266197400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 266197400 is about 16315.5569932503. The cubic root of 266197400 is about 643.2818080622.

The spelling of 266197400 in words is "two hundred sixty-six million, one hundred ninety-seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 49 50 56 70 92 98 100 115 140 161 175 184 196 200 230 245 280 322 350 392 460 490 575 644 700 805 920 980 1127 1150 1181 1225 1288 1400 1610 1960 2254 2300 2362 2450 3220 4025 4508 4600 4724 4900 5635 5905 6440 8050 8267 9016 9448 9800 11270 11810 16100 16534 22540 23620 27163 28175 29525 32200 33068 41335 45080 47240 54326 56350 57869 59050 66136 82670 108652 112700 115738 118100 135815 165340 190141 206675 217304 225400 231476 236200 271630 289345 330680 380282 413350 462952 543260 578690 679075 760564 826700 950705 1086520 1157380 1330987 1358150 1446725 1521128 1653400 1901410 2314760 2661974 2716300 2893450 3802820 4753525 5323948 5432600 5786900 6654935 7605640 9507050 10647896 11573800 13309870 19014100 26619740 33274675 38028200 53239480 66549350 133098700 266197400