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1229903028 = 22344322053
BaseRepresentation
bin100100101001110…
…1101010010110100
310011201021112210000
41021103231102310
510004323344103
6322013031300
742323001054
oct11123552264
93151245700
101229903028
11581280392
122a3a85530
13167a64293
14b94b5564
1572e95aa3
hex494ed4b4

1229903028 has 90 divisors (see below), whose sum is σ = 3293324034. Its totient is φ = 400238496.

The previous prime is 1229903023. The next prime is 1229903033. The reversal of 1229903028 is 8203099221.

It is an interprime number because it is at equal distance from previous prime (1229903023) and next prime (1229903033).

It can be written as a sum of positive squares in only one way, i.e., 1056770064 + 173132964 = 32508^2 + 13158^2 .

It is a super-2 number, since 2×12299030282 = 3025322916567137568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1229902983 and 1229903001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1229903023) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 598050 + ... + 600102.

Almost surely, 21229903028 is an apocalyptic number.

1229903028 is a gapful number since it is divisible by the number (18) 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 1229903028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646662017).

1229903028 is an abundant number, since it is smaller than the sum of its proper divisors (2063421006).

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

1229903028 is a wasteful number, since it uses less digits than its factorization.

1229903028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1229903028 is about 35069.9733105117. The cubic root of 1229903028 is about 1071.4131118226.

The spelling of 1229903028 in words is "one billion, two hundred twenty-nine million, nine hundred three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 1161 1548 1849 2053 2322 3483 3698 4106 4644 5547 6159 6966 7396 8212 11094 12318 13932 16641 18477 22188 24636 33282 36954 49923 55431 66564 73908 88279 99846 110862 149769 166293 176558 199692 221724 264837 299538 332586 353116 529674 599076 665172 794511 1059348 1589022 2383533 3178044 3795997 4767066 7150599 7591994 9534132 11387991 14301198 15183988 22775982 28602396 34163973 45551964 68327946 102491919 136655892 204983838 307475757 409967676 614951514 1229903028