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1223638128 = 2432113139541
BaseRepresentation
bin100100011101111…
…0011110001110000
310011021111020221200
41020323303301300
510001222410003
6321230451200
742215516046
oct11073636160
93137436850
101223638128
11578791489
122a1963b00
1316667c83b
14b8724396
15726596a3
hex48ef3c70

1223638128 has 120 divisors (see below), whose sum is σ = 3486078960. Its totient is φ = 400619520.

The previous prime is 1223638109. The next prime is 1223638147. The reversal of 1223638128 is 8218363221.

1223638128 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 638 + 12 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1223638109) and next prime (1223638147).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1223638092 and 1223638101.

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, 2261538 + ... + 2262078.

It is an arithmetic number, because the mean of its divisors is an integer number (29050658).

Almost surely, 21223638128 is an apocalyptic number.

1223638128 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 1223638128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743039480).

1223638128 is an abundant number, since it is smaller than the sum of its proper divisors (2262440832).

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

1223638128 is a wasteful number, since it uses less digits than its factorization.

1223638128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 798 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1223638128 is about 34980.5392754314. The cubic root of 1223638128 is about 1069.5908203408.

The spelling of 1223638128 in words is "one billion, two hundred twenty-three million, six hundred thirty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 139 144 226 278 339 417 452 541 556 678 834 904 1017 1082 1112 1251 1356 1623 1668 1808 2034 2164 2224 2502 2712 3246 3336 4068 4328 4869 5004 5424 6492 6672 8136 8656 9738 10008 12984 15707 16272 19476 20016 25968 31414 38952 47121 61133 62828 75199 77904 94242 122266 125656 141363 150398 183399 188484 225597 244532 251312 282726 300796 366798 376968 451194 489064 550197 565452 601592 676791 733596 753936 902388 978128 1100394 1130904 1203184 1353582 1467192 1804776 2200788 2261808 2707164 2934384 3609552 4401576 5414328 8497487 8803152 10828656 16994974 25492461 33989948 50984922 67979896 76477383 101969844 135959792 152954766 203939688 305909532 407879376 611819064 1223638128