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229300001442 = 233411095031889
BaseRepresentation
bin1101010110001101011…
…0000101101010100010
3210220212022101222101000
43111203112011222202
512224101300021232
6253201114452430
722365160565511
oct3254326055242
9726768358330
10229300001442
1189277966a26
1238534134116
1318813675735
14b153592678
155e708cb27c
hex3563585aa2

229300001442 has 128 divisors (see below), whose sum is σ = 528099264000. Its totient is φ = 73699061760.

The previous prime is 229300001407. The next prime is 229300001461. The reversal of 229300001442 is 244100003922.

It is a super-2 number, since 2×2293000014422 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121386034 + ... + 121387922.

It is an arithmetic number, because the mean of its divisors is an integer number (4125775500).

Almost surely, 2229300001442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229300001442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264049632000).

229300001442 is an abundant number, since it is smaller than the sum of its proper divisors (298799262558).

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

229300001442 is a wasteful number, since it uses less digits than its factorization.

229300001442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 229300001442 in words is "two hundred twenty-nine billion, three hundred million, one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 109 123 218 246 327 369 503 654 738 981 1006 1107 1509 1889 1962 2214 2943 3018 3778 4469 4527 5667 5886 8938 9054 11334 13407 13581 17001 20623 26814 27162 34002 40221 41246 51003 54827 61869 77449 80442 102006 109654 120663 123738 154898 164481 185607 205901 232347 241326 328962 371214 411802 464694 493443 556821 617703 697041 950167 986886 1113642 1235406 1394082 1480329 1853109 1900334 2091123 2247907 2850501 2960658 3706218 4182246 4495814 5559327 5701002 6743721 8441941 8551503 11118654 13487442 16883882 17103006 20231163 25325823 25654509 38956847 40462326 50651646 51309018 60693489 75977469 77913694 103568203 116870541 121386978 151954938 207136406 227932407 233741082 310704609 350611623 455864814 621409218 701223246 932113827 1051834869 1864227654 2103669738 2796341481 4246296323 5592682962 8492592646 12738888969 25477777938 38216666907 76433333814 114650000721 229300001442