Search a number
-
+
201169024 = 2771747281
BaseRepresentation
bin10111111110110…
…01100010000000
3112000112110000121
423333121202000
5402444402044
631543430024
74661623420
oct1377314200
9460473017
10201169024
11a36112a1
1257455314
13328a6434
141ca08480
15129da984
hexbfd9880

201169024 has 128 divisors (see below), whose sum is σ = 497041920. Its totient is φ = 79134720.

The previous prime is 201168959. The next prime is 201169039. The reversal of 201169024 is 420961102.

201169024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2011690242 = 80937952434225152, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201169024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715764 + ... + 716044.

It is an arithmetic number, because the mean of its divisors is an integer number (3883140).

Almost surely, 2201169024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201169024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248520960).

201169024 is an abundant number, since it is smaller than the sum of its proper divisors (295872896).

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

201169024 is a wasteful number, since it uses less digits than its factorization.

201169024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 201169024 is about 14183.4066429754. The cubic root of 201169024 is about 585.9407504540.

The spelling of 201169024 in words is "two hundred one million, one hundred sixty-nine thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 47 56 64 68 94 112 119 128 136 188 224 238 272 281 329 376 448 476 544 562 658 752 799 896 952 1088 1124 1316 1504 1598 1904 1967 2176 2248 2632 3008 3196 3808 3934 4496 4777 5264 5593 6016 6392 7616 7868 8992 9554 10528 11186 12784 13207 15232 15736 17984 19108 21056 22372 25568 26414 31472 33439 35968 38216 42112 44744 51136 52828 62944 66878 76432 89488 92449 102272 105656 125888 133756 152864 178976 184898 211312 224519 251776 267512 305728 357952 369796 422624 449038 535024 611456 715904 739592 845248 898076 1070048 1479184 1571633 1690496 1796152 2140096 2958368 3143266 3592304 4280192 5916736 6286532 7184608 11833472 12573064 14369216 25146128 28738432 50292256 100584512 201169024