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38190228340 = 225111771143821
BaseRepresentation
bin100011100100010100…
…001010001101110100
310122120112122121111111
4203210110022031310
51111203144301330
625313325044404
72521250404405
oct434424121564
9118515577444
1038190228340
111521842a890
1274999b6704
1337a8150864
141bc40ad9ac
15ed7b9d32a
hex8e450a374

38190228340 has 96 divisors (see below), whose sum is σ = 93942229248. Its totient is φ = 12886272000.

The previous prime is 38190228331. The next prime is 38190228347. The reversal of 38190228340 is 4382209183.

It is a super-2 number, since 2×381902283402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38190228293 and 38190228302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38190228347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193630 + ... + 337450.

It is an arithmetic number, because the mean of its divisors is an integer number (978564888).

Almost surely, 238190228340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38190228340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46971114624).

38190228340 is an abundant number, since it is smaller than the sum of its proper divisors (55752000908).

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

38190228340 is a wasteful number, since it uses less digits than its factorization.

38190228340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143929 (or 143927 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 38190228340 in words is "thirty-eight billion, one hundred ninety million, two hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 71 85 110 142 170 187 220 284 340 355 374 710 748 781 935 1207 1420 1562 1870 2414 3124 3740 3905 4828 6035 7810 12070 13277 15620 24140 26554 53108 66385 132770 143821 265540 287642 575284 719105 1438210 1582031 2444957 2876420 3164062 4889914 6328124 7910155 9779828 10211291 12224785 15820310 20422582 24449570 26894527 31640620 40845164 48899140 51056455 53789054 102112910 107578108 112324201 134472635 173591947 204225820 224648402 268945270 347183894 449296804 537890540 561621005 694367788 867959735 1123242010 1735919470 1909511417 2246484020 3471838940 3819022834 7638045668 9547557085 19095114170 38190228340