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224001322220 = 225135914602433
BaseRepresentation
bin1101000010011110000…
…1001110110011101100
3210102012001000011221102
43100213201032303230
512132223314302340
6250523233422232
722116650552234
oct3204741166354
9712161004842
10224001322220
1186aa89a7895
12374b570a978
131817a98c2a0
14abad982cc4
155c60627215
hex342784ecec

224001322220 has 48 divisors (see below), whose sum is σ = 515173871520. Its totient is φ = 81306341376.

The previous prime is 224001322217. The next prime is 224001322247. The reversal of 224001322220 is 22223100422.

224001322220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 224001322192 and 224001322201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7285877 + ... + 7316556.

It is an arithmetic number, because the mean of its divisors is an integer number (10732788990).

Almost surely, 2224001322220 is an apocalyptic number.

224001322220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224001322220 is an abundant number, since it is smaller than the sum of its proper divisors (291172549300).

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

224001322220 is a wasteful number, since it uses less digits than its factorization.

224001322220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14602514 (or 14602512 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 224001322220 its reverse (22223100422), we get a palindrome (246224422642).

The spelling of 224001322220 in words is "two hundred twenty-four billion, one million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 236 260 295 590 767 1180 1534 3068 3835 7670 15340 14602433 29204866 58409732 73012165 146024330 189831629 292048660 379663258 759326516 861543547 949158145 1723087094 1898316290 3446174188 3796632580 4307717735 8615435470 11200066111 17230870940 22400132222 44800264444 56000330555 112000661110 224001322220