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103222210224 = 2437793888721
BaseRepresentation
bin110000000100010000…
…1011110111010110000
3100212102201210120201010
41200020201132322300
53142344341211344
6115230350110520
710312641211260
oct1401041367260
9325381716633
10103222210224
113a85a279361
1218008aab440
139970256703
144dd2d8b7a0
152a420738b9
hex180885eeb0

103222210224 has 80 divisors (see below), whose sum is σ = 308608977920. Its totient is φ = 29118735360.

The previous prime is 103222210219. The next prime is 103222210229. The reversal of 103222210224 is 422012222301.

It is an interprime number because it is at equal distance from previous prime (103222210219) and next prime (103222210229).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 103222210224.

It is not an unprimeable number, because it can be changed into a prime (103222210229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1917817 + ... + 1970904.

It is an arithmetic number, because the mean of its divisors is an integer number (3857612224).

Almost surely, 2103222210224 is an apocalyptic number.

103222210224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103222210224 is an abundant number, since it is smaller than the sum of its proper divisors (205386767696).

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

103222210224 is a wasteful number, since it uses less digits than its factorization.

103222210224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888818 (or 3888812 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 103222210224 its reverse (422012222301), we get a palindrome (525234432525).

The spelling of 103222210224 in words is "one hundred three billion, two hundred twenty-two million, two hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 948 1106 1264 1659 1896 2212 3318 3792 4424 6636 8848 13272 26544 3888721 7777442 11666163 15554884 23332326 27221047 31109768 46664652 54442094 62219536 81663141 93329304 108884188 163326282 186658608 217768376 307208959 326652564 435536752 614417918 653305128 921626877 1228835836 1306610256 1843253754 2150462713 2457671672 3686507508 4300925426 4915343344 6451388139 7373015016 8601850852 12902776278 14746030032 17203701704 25805552556 34407403408 51611105112 103222210224