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2234124144 = 2432710872039
BaseRepresentation
bin1000010100101010…
…0000011101110000
312202200220021011200
42011022200131300
514033413433034
61005405011200
7106235512320
oct20512403560
95680807150
102234124144
11a4711759a
12524253b00
13297b1b865
14172a01280
15d120ca99
hex852a0770

2234124144 has 120 divisors (see below), whose sum is σ = 7155732480. Its totient is φ = 637421184.

The previous prime is 2234124107. The next prime is 2234124161. The reversal of 2234124144 is 4414214322.

2234124144 is a `hidden beast` number, since 2 + 234 + 12 + 414 + 4 = 666.

It is a super-3 number, since 3×22341241443 (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1094677 + ... + 1096715.

It is an arithmetic number, because the mean of its divisors is an integer number (59631104).

Almost surely, 22234124144 is an apocalyptic number.

2234124144 is a gapful number since it is divisible by the number (24) 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 2234124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577866240).

2234124144 is an abundant number, since it is smaller than the sum of its proper divisors (4921608336).

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

2234124144 is a wasteful number, since it uses less digits than its factorization.

2234124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3147 (or 3138 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2234124144 is about 47266.5224445378. The cubic root of 2234124144 is about 1307.2814559170.

Adding to 2234124144 its reverse (4414214322), we get a palindrome (6648338466).

The spelling of 2234124144 in words is "two billion, two hundred thirty-four million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1087 2039 2174 3261 4078 4348 6117 6522 7609 8156 8696 9783 12234 13044 14273 15218 16312 17392 18351 19566 22827 24468 26088 28546 30436 32624 36702 39132 42819 45654 48936 52176 57092 60872 68481 73404 78264 85638 91308 97872 114184 121744 128457 136962 146808 156528 171276 182616 228368 256914 273924 293616 342552 365232 513828 547848 685104 1027656 1095696 2055312 2216393 4432786 6649179 8865572 13298358 15514751 17731144 19947537 26596716 31029502 35462288 39895074 46544253 53193432 62059004 79790148 93088506 106386864 124118008 139632759 159580296 186177012 248236016 279265518 319160592 372354024 558531036 744708048 1117062072 2234124144