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2223424334313 = 3371323311269193
BaseRepresentation
bin100000010110101110011…
…010101110100111101001
321212120001021011000022000
4200112232122232213221
5242412033112144223
64421232123521213
7316431346003650
oct40265632564751
97776037130260
102223424334313
11787a49088066
122baab8389209
1313188b8241a0
147988595a197
153cc82b30543
hex205ae6ae9e9

2223424334313 has 128 divisors (see below), whose sum is σ = 4366839644160. Its totient is φ = 1085616069120.

The previous prime is 2223424334309. The next prime is 2223424334317. The reversal of 2223424334313 is 3134334243222.

2223424334313 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 4 + 2 + 4 + 334 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (2223424334309) and next prime (2223424334317).

It is not a de Polignac number, because 2223424334313 - 22 = 2223424334309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2223424334317) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1117245 + ... + 2386437.

It is an arithmetic number, because the mean of its divisors is an integer number (34115934720).

Almost surely, 22223424334313 is an apocalyptic number.

2223424334313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2223424334313 is a deficient number, since it is larger than the sum of its proper divisors (2143415309847).

2223424334313 is a wasteful number, since it uses less digits than its factorization.

2223424334313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269276 (or 1269270 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 2223424334313 its reverse (3134334243222), we get a palindrome (5357758577535).

The spelling of 2223424334313 in words is "two trillion, two hundred twenty-three billion, four hundred twenty-four million, three hundred thirty-four thousand, three hundred thirteen".

Divisors: 1 3 7 9 13 21 23 27 31 39 63 69 91 93 117 161 189 207 217 273 279 299 351 403 483 621 651 713 819 837 897 1209 1449 1953 2093 2139 2457 2691 2821 3627 4347 4991 5859 6279 6417 8073 8463 9269 10881 14973 18837 19251 25389 27807 44919 56511 64883 76167 83421 134757 194649 250263 583947 1269193 1751841 3807579 8884351 11422737 16499509 26653053 29191439 34268211 39344983 49498527 79959159 87574317 115496563 118034949 148495581 204340073 239877477 262722951 275414881 346489689 354104847 379488707 445486743 511484779 613020219 788168853 826244643 904934609 1039469067 1062314541 1138466121 1534454337 1839060657 2478733929 2656420949 2714803827 3118407201 3415398363 3580393453 4603363011 5517181971 6334542263 7436201787 7969262847 8144411481 10246195089 10741180359 11764149917 13810089033 19003626789 23907788541 24433234443 32223541077 35292449751 57010880367 71723365623 82349049419 96670623231 105877349253 171032641101 247047148257 317632047759 741141444771 2223424334313