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10223223140 = 22513671274621
BaseRepresentation
bin10011000010101101…
…00000000101100100
3222101110210112201002
421201112200011210
5131414121120030
64410235052432
7511224651164
oct114126400544
928343715632
1010223223140
114376819949
121b938a1118
13c6c015c80
146cda6c5a4
153ec7a3245
hex2615a0164

10223223140 has 96 divisors (see below), whose sum is σ = 23655174144. Its totient is φ = 3688312320.

The previous prime is 10223223097. The next prime is 10223223151. The reversal of 10223223140 is 4132232201.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2210030 + ... + 2214650.

It is an arithmetic number, because the mean of its divisors is an integer number (246408064).

Almost surely, 210223223140 is an apocalyptic number.

10223223140 is a gapful number since it is divisible by the number (10) 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 10223223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11827587072).

10223223140 is an abundant number, since it is smaller than the sum of its proper divisors (13431951004).

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

10223223140 is a wasteful number, since it uses less digits than its factorization.

10223223140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4837 (or 4835 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10223223140 its reverse (4132232201), we get a palindrome (14355455341).

The spelling of 10223223140 in words is "ten billion, two hundred twenty-three million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 127 130 134 254 260 268 335 508 635 670 871 1270 1340 1651 1742 2540 3302 3484 4355 4621 6604 8255 8509 8710 9242 16510 17018 17420 18484 23105 33020 34036 42545 46210 60073 85090 92420 110617 120146 170180 221234 240292 300365 309607 442468 553085 586867 600730 619214 1106170 1173734 1201460 1238428 1548035 2212340 2347468 2934335 3096070 4024891 5868670 6192140 7629271 8049782 11737340 15258542 16099564 20124455 30517084 38146355 39320089 40248910 76292710 78640178 80497820 152585420 157280356 196600445 393200890 511161157 786401780 1022322314 2044644628 2555805785 5111611570 10223223140