Search a number
-
+
224121100104 = 233211282981187
BaseRepresentation
bin1101000010111010101…
…0001001011101001000
3210102111101101112022100
43100232222021131020
512133000000200404
6250543152553400
722122633630006
oct3205652113510
9712441345270
10224121100104
118705a577780
1237529852860
1318199739085
14abc1841a76
155c6add6d39
hex342ea89748

224121100104 has 48 divisors (see below), whose sum is σ = 662175979920. Its totient is φ = 67915484640.

The previous prime is 224121100103. The next prime is 224121100109. The reversal of 224121100104 is 401001121422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (224121100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141489802 + ... + 141491385.

It is an arithmetic number, because the mean of its divisors is an integer number (13795332915).

Almost surely, 2224121100104 is an apocalyptic number.

224121100104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224121100104 is an abundant number, since it is smaller than the sum of its proper divisors (438054879816).

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

224121100104 is a wasteful number, since it uses less digits than its factorization.

224121100104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282981210 (or 282981203 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 224121100104 its reverse (401001121422), we get a palindrome (625122221526).

The spelling of 224121100104 in words is "two hundred twenty-four billion, one hundred twenty-one million, one hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 282981187 565962374 848943561 1131924748 1697887122 2263849496 2546830683 3112793057 3395774244 5093661366 6225586114 6791548488 9338379171 10187322732 12451172228 18676758342 20374645464 24902344456 28015137513 37353516684 56030275026 74707033368 112060550052 224121100104