Search a number
-
+
200355840 = 2123251087
BaseRepresentation
bin10111111000100…
…11000000000000
3111222000010112200
423330103000000
5402242341330
631514153200
74651665546
oct1374230000
9458003480
10200355840
11a3106343
1257122800
1332680269
141c875d96
15128c9a60
hexbf13000

200355840 has 156 divisors (see below), whose sum is σ = 695121024. Its totient is φ = 53379072.

The previous prime is 200355839. The next prime is 200355901. The reversal of 200355840 is 48553002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183777 + ... + 184863.

It is an arithmetic number, because the mean of its divisors is an integer number (4455904).

Almost surely, 2200355840 is an apocalyptic number.

200355840 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 200355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347560512).

200355840 is an abundant number, since it is smaller than the sum of its proper divisors (494765184).

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

200355840 is a wasteful number, since it uses less digits than its factorization.

200355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 200355840 is about 14154.7108765951. The cubic root of 200355840 is about 585.1501696445.

The spelling of 200355840 in words is "two hundred million, three hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1087 1152 1280 1440 1536 1920 2048 2174 2304 2560 2880 3072 3261 3840 4096 4348 4608 5120 5435 5760 6144 6522 7680 8696 9216 9783 10240 10870 11520 12288 13044 15360 16305 17392 18432 19566 20480 21740 23040 26088 30720 32610 34784 36864 39132 43480 46080 48915 52176 61440 65220 69568 78264 86960 92160 97830 104352 130440 139136 156528 173920 184320 195660 208704 260880 278272 313056 347840 391320 417408 521760 556544 626112 695680 782640 834816 1043520 1113088 1252224 1391360 1565280 1669632 2087040 2226176 2504448 2782720 3130560 3339264 4174080 4452352 5008896 5565440 6261120 6678528 8348160 10017792 11130880 12522240 13357056 16696320 20035584 22261760 25044480 33392640 40071168 50088960 66785280 100177920 200355840