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23970195228 = 22371724124083
BaseRepresentation
bin10110010100101111…
…000010011100011100
32021212112011002020110
4112110233002130130
5343042332221403
615002312250020
71506001204050
oct262457023434
967775132213
1023970195228
11a190606501
12478b6a0910
132350092195
1412356bbc60
159545a5103
hex594bc271c

23970195228 has 144 divisors (see below), whose sum is σ = 69560757504. Its totient is φ = 6288291840.

The previous prime is 23970195217. The next prime is 23970195229. The reversal of 23970195228 is 82259107932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23970195229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983275 + ... + 1007357.

It is an arithmetic number, because the mean of its divisors is an integer number (483060816).

Almost surely, 223970195228 is an apocalyptic number.

23970195228 is a gapful number since it is divisible by the number (28) 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 23970195228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34780378752).

23970195228 is an abundant number, since it is smaller than the sum of its proper divisors (45590562276).

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

23970195228 is a wasteful number, since it uses less digits than its factorization.

23970195228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24172 (or 24153 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 23970195228 in words is "twenty-three billion, nine hundred seventy million, one hundred ninety-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 41 42 51 68 82 84 102 119 123 164 204 238 246 287 289 357 476 492 574 578 697 714 861 867 1148 1156 1394 1428 1722 1734 2023 2091 2788 3444 3468 4046 4182 4879 6069 8092 8364 9758 11849 12138 14637 19516 23698 24083 24276 29274 35547 47396 48166 58548 71094 72249 82943 96332 142188 144498 165886 168581 248829 288996 331772 337162 409411 497658 505743 674324 818822 987403 995316 1011486 1228233 1637644 1974806 2022972 2456466 2865877 2962209 3949612 4912932 5731754 5924418 6911821 6959987 8597631 11463508 11848836 13823642 13919974 16785851 17195262 20735463 20879961 27647284 27839948 33571702 34390524 41470926 41759922 48719909 50357553 67143404 82941852 83519844 97439818 100715106 117500957 146159727 194879636 201430212 235001914 285359467 292319454 352502871 470003828 570718934 584638908 705005742 856078401 1141437868 1410011484 1712156802 1997516269 3424313604 3995032538 5992548807 7990065076 11985097614 23970195228