Search a number
-
+
2155361184 = 253317146743
BaseRepresentation
bin1000000001111000…
…0011001110100000
312120012200200201000
42000132003032200
513403233024214
6553512512000
7104261160564
oct20036031640
95505620630
102155361184
11a06710839
125019ab600
13284702562
1416637b6a4
15c9350809
hex807833a0

2155361184 has 96 divisors (see below), whose sum is σ = 6656307840. Its totient is φ = 676187136.

The previous prime is 2155361183. The next prime is 2155361207. The reversal of 2155361184 is 4811635512.

2155361184 is a `hidden beast` number, since 2 + 1 + 5 + 536 + 118 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2155361183) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 58684 + ... + 88059.

It is an arithmetic number, because the mean of its divisors is an integer number (69336540).

Almost surely, 22155361184 is an apocalyptic number.

2155361184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2155361184 is an abundant number, since it is smaller than the sum of its proper divisors (4500946656).

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

2155361184 is a wasteful number, since it uses less digits than its factorization.

2155361184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146779 (or 146765 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 2155361184 is about 46425.8676170947. The cubic root of 2155361184 is about 1291.7347779960.

Adding to 2155361184 its reverse (4811635512), we get a palindrome (6966996696).

The spelling of 2155361184 in words is "two billion, one hundred fifty-five million, three hundred sixty-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 146743 293486 440229 586972 880458 1173944 1320687 1760916 2347888 2494631 2641374 3521832 3962061 4695776 4989262 5282748 7043664 7483893 7924122 9978524 10565496 14087328 14967786 15848244 19957048 21130992 22451679 29935572 31696488 39914096 42261984 44903358 59871144 63392976 67355037 79828192 89806716 119742288 126785952 134710074 179613432 239484576 269420148 359226864 538840296 718453728 1077680592 2155361184