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1002230112 = 253133732153
BaseRepresentation
bin111011101111001…
…101000101100000
32120211212120020210
4323233031011200
54023032330422
6243241134120
733556546452
oct7357150540
92524776223
101002230112
11474807354
1223b78a340
1312c83b290
149716c2d2
155cec210c
hex3bbcd160

1002230112 has 96 divisors (see below), whose sum is σ = 2842142688. Its totient is φ = 307408896.

The previous prime is 1002230081. The next prime is 1002230191. The reversal of 1002230112 is 2110322001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464428 + ... + 466580.

It is an arithmetic number, because the mean of its divisors is an integer number (29605653).

Almost surely, 21002230112 is an apocalyptic number.

1002230112 is a gapful number since it is divisible by the number (12) 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 1002230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421071344).

1002230112 is an abundant number, since it is smaller than the sum of its proper divisors (1839912576).

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

1002230112 is a wasteful number, since it uses less digits than its factorization.

1002230112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1002230112 is about 31658.0181312728. The cubic root of 1002230112 is about 1000.7428187503.

Adding to 1002230112 its reverse (2110322001), we get a palindrome (3112552113).

The spelling of 1002230112 in words is "one billion, two million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 373 416 624 746 1119 1248 1492 2153 2238 2984 4306 4476 4849 5968 6459 8612 8952 9698 11936 12918 14547 17224 17904 19396 25836 27989 29094 34448 35808 38792 51672 55978 58188 68896 77584 83967 103344 111956 116376 155168 167934 206688 223912 232752 335868 447824 465504 671736 803069 895648 1343472 1606138 2409207 2686944 3212276 4818414 6424552 9636828 10439897 12849104 19273656 20879794 25698208 31319691 38547312 41759588 62639382 77094624 83519176 125278764 167038352 250557528 334076704 501115056 1002230112