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38223787890 = 2351998368219
BaseRepresentation
bin100011100110010100…
…001011011101110010
310122122212210121112210
4203212110023131302
51111240242203030
625320524232550
72522135556561
oct434624133562
9118585717483
1038223787890
1115235371652
1274a909b756
1337b20a0a92
141bc8727bd8
15edaacbbb0
hex8e650b772

38223787890 has 64 divisors (see below), whose sum is σ = 96665011200. Its totient is φ = 9646570944.

The previous prime is 38223787843. The next prime is 38223787949. The reversal of 38223787890 is 9878732283.

It is a happy number.

38223787890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×382237878903 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 38223787890.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526201 + ... + 594419.

It is an arithmetic number, because the mean of its divisors is an integer number (1510390800).

Almost surely, 238223787890 is an apocalyptic number.

38223787890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38223787890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48332505600).

38223787890 is an abundant number, since it is smaller than the sum of its proper divisors (58441223310).

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

38223787890 is a wasteful number, since it uses less digits than its factorization.

38223787890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69231.

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 38223787890 in words is "thirty-eight billion, two hundred twenty-three million, seven hundred eighty-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 983 1966 2949 4915 5898 9830 14745 18677 29490 37354 56031 68219 93385 112062 136438 186770 204657 280155 341095 409314 560310 682190 1023285 1296161 2046570 2592322 3888483 6480805 7776966 12961610 19442415 38884830 67059277 134118554 201177831 335296385 402355662 670592770 1005889155 1274126263 2011778310 2548252526 3822378789 6370631315 7644757578 12741262630 19111893945 38223787890