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1223013204 = 22327191791427
BaseRepresentation
bin100100011100101…
…1011001101010100
310011020022111201100
41020321123031110
510001042410304
6321205230100
742210304110
oct11071331524
93136274640
101223013204
115783a4a16
122a1702330
131664c126a
14b8600740
1572584439
hex48e5b354

1223013204 has 144 divisors (see below), whose sum is σ = 3742502400. Its totient is φ = 328961088.

The previous prime is 1223013191. The next prime is 1223013221. The reversal of 1223013204 is 4023103221.

It is a super-2 number, since 2×12230132042 = 2991522594316691232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856339 + ... + 857765.

It is an arithmetic number, because the mean of its divisors is an integer number (25989600).

Almost surely, 21223013204 is an apocalyptic number.

1223013204 is a gapful number since it is divisible by the number (14) 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 1223013204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871251200).

1223013204 is an abundant number, since it is smaller than the sum of its proper divisors (2519489196).

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

1223013204 is a wasteful number, since it uses less digits than its factorization.

1223013204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1223013204 is about 34971.6056823246. The cubic root of 1223013204 is about 1069.4087058253.

Adding to 1223013204 its reverse (4023103221), we get a palindrome (5246116425).

The spelling of 1223013204 in words is "one billion, two hundred twenty-three million, thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 179 228 252 266 342 358 399 532 537 684 716 798 1074 1197 1253 1427 1596 1611 2148 2394 2506 2854 3222 3401 3759 4281 4788 5012 5708 6444 6802 7518 8562 9989 10203 11277 12843 13604 15036 17124 19978 20406 22554 23807 25686 27113 29967 30609 39956 40812 45108 47614 51372 54226 59934 61218 71421 81339 89901 95228 108452 119868 122436 142842 162678 179802 189791 214263 244017 255433 285684 325356 359604 379582 428526 488034 510866 569373 759164 766299 857052 976068 1021732 1138746 1532598 1708119 1788031 2277492 2298897 3065196 3416238 3576062 4597794 4853227 5364093 6832476 7152124 9195588 9706454 10728186 14559681 16092279 19412908 21456372 29119362 32184558 33972589 43679043 58238724 64369116 67945178 87358086 101917767 135890356 174716172 203835534 305753301 407671068 611506602 1223013204