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1112224022224 = 247193454911311
BaseRepresentation
bin10000001011110101101…
…101111011111011010000
310221022211210201102210121
4100023311231323323100
5121210313322202344
62210540524440024
7143232643126210
oct20136555737320
93838753642717
101112224022224
113997675128a7
1215b6816a9014
1380b61488213
143bb90b5c240
151dde8c23684
hex102f5b7bed0

1112224022224 has 80 divisors (see below), whose sum is σ = 2476305395200. Its totient is φ = 474051502080.

The previous prime is 1112224022219. The next prime is 1112224022321. The reversal of 1112224022224 is 4222204222111.

It is a super-2 number, since 2×11122240222242 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98325529 + ... + 98336839.

It is an arithmetic number, because the mean of its divisors is an integer number (30953817440).

Almost surely, 21112224022224 is an apocalyptic number.

1112224022224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112224022224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238152697600).

1112224022224 is an abundant number, since it is smaller than the sum of its proper divisors (1364081372976).

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

1112224022224 is a wasteful number, since it uses less digits than its factorization.

1112224022224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16068 (or 16062 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 1112224022224 its reverse (4222204222111), we get a palindrome (5334428244335).

The spelling of 1112224022224 in words is "one trillion, one hundred twelve billion, two hundred twenty-four million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 193 386 772 1351 1544 2702 3088 4549 5404 9098 10808 11311 18196 21616 22622 31843 36392 45244 63686 72784 79177 90488 127372 158354 180976 254744 316708 509488 633416 877957 1266832 1755914 2183023 3511828 4366046 6145699 7023656 8732092 12291398 14047312 15281161 17464184 24582796 30562322 34928368 49165592 51453739 61124644 98331184 102907478 122249288 205814956 244498576 360176173 411629912 720352346 823259824 1440704692 2881409384 5762818768 9930571627 19861143254 39722286508 69514001389 79444573016 139028002778 158889146032 278056005556 556112011112 1112224022224