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10222007640 = 23351317233803
BaseRepresentation
bin10011000010100011…
…10111010101011000
3222101101111210100120
421201101313111120
5131413313221030
64410153033240
7511211426355
oct114121672530
928341453316
1010222007640
1143760696a9
121b933b5820
13c6b9ab940
146cd83362c
153ec613010
hex261477558

10222007640 has 128 divisors (see below), whose sum is σ = 33052803840. Its totient is φ = 2514064896.

The previous prime is 10222007633. The next prime is 10222007641. The reversal of 10222007640 is 4670022201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10222007640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222007641) 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, 2685979 + ... + 2689781.

It is an arithmetic number, because the mean of its divisors is an integer number (258225030).

Almost surely, 210222007640 is an apocalyptic number.

10222007640 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 10222007640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16526401920).

10222007640 is an abundant number, since it is smaller than the sum of its proper divisors (22830796200).

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

10222007640 is a wasteful number, since it uses less digits than its factorization.

10222007640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 10222007640 its reverse (4670022201), we get a palindrome (14892029841).

The spelling of 10222007640 in words is "ten billion, two hundred twenty-two million, seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 1723 3446 3803 5169 6892 7606 8615 10338 11409 13784 15212 17230 19015 20676 22399 22818 25845 30424 34460 38030 41352 44798 45636 49439 51690 57045 67197 68920 76060 89596 91272 98878 103380 111995 114090 134394 148317 152120 179192 197756 206760 223990 228180 247195 268788 296634 335985 395512 447980 456360 494390 537576 593268 671970 741585 895960 988780 1186536 1343940 1483170 1977560 2687880 2966340 5932680 6552569 13105138 19657707 26210276 32762845 39315414 52420552 65525690 78630828 85183397 98288535 131051380 157261656 170366794 196577070 255550191 262102760 340733588 393154140 425916985 511100382 681467176 786308280 851833970 1022200764 1277750955 1703667940 2044401528 2555501910 3407335880 5111003820 10222007640