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1122433056 = 253219415003
BaseRepresentation
bin100001011100110…
…1111100000100000
32220020001111200200
41002321233200200
54244320324211
6303213345200
736546344403
oct10271574040
92806044620
101122433056
11526647628
12273a98200
1314b706694
14a90dbd3a
1568817b56
hex42e6f820

1122433056 has 144 divisors (see below), whose sum is σ = 3442551840. Its totient is φ = 345738240.

The previous prime is 1122433049. The next prime is 1122433063. The reversal of 1122433056 is 6503342211.

1122433056 is a `hidden beast` number, since 112 + 243 + 305 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1122433049) and next prime (1122433063).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221851 + ... + 226853.

It is an arithmetic number, because the mean of its divisors is an integer number (23906610).

Almost surely, 21122433056 is an apocalyptic number.

1122433056 is a gapful number since it is divisible by the number (16) 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 1122433056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721275920).

1122433056 is an abundant number, since it is smaller than the sum of its proper divisors (2320118784).

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

1122433056 is a wasteful number, since it uses less digits than its factorization.

1122433056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1122433056 is about 33502.7320676986. The cubic root of 1122433056 is about 1039.2502782061.

Adding to 1122433056 its reverse (6503342211), we get a palindrome (7625775267).

The spelling of 1122433056 in words is "one billion, one hundred twenty-two million, four hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 41 48 57 72 76 82 96 114 123 144 152 164 171 228 246 288 304 328 342 369 456 492 608 656 684 738 779 912 984 1312 1368 1476 1558 1824 1968 2337 2736 2952 3116 3936 4674 5003 5472 5904 6232 7011 9348 10006 11808 12464 14022 15009 18696 20012 24928 28044 30018 37392 40024 45027 56088 60036 74784 80048 90054 95057 112176 120072 160096 180108 190114 205123 224352 240144 285171 360216 380228 410246 480288 570342 615369 720432 760456 820492 855513 1140684 1230738 1440864 1520912 1640984 1711026 1846107 2281368 2461476 3041824 3281968 3422052 3692214 3897337 4562736 4922952 6563936 6844104 7384428 7794674 9125472 9845904 11692011 13688208 14768856 15589348 19691808 23384022 27376416 29537712 31178696 35076033 46768044 59075424 62357392 70152066 93536088 124714784 140304132 187072176 280608264 374144352 561216528 1122433056