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10222023330 = 23251740116661
BaseRepresentation
bin10011000010100011…
…11011001010100010
3222101101112120212200
421201101323022202
5131413314221310
64410153234030
7511211523201
oct114121731242
928341476780
1010222023330
11437607a472
121b93402916
13c6b9b5b1c
146cd839238
153ec6179c0
hex26147b2a2

10222023330 has 96 divisors (see below), whose sum is σ = 28212498288. Its totient is φ = 2558976000.

The previous prime is 10222023319. The next prime is 10222023391. The reversal of 10222023330 is 3332022201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8878727529 + 1343295801 = 94227^2 + 36651^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605200 + ... + 621860.

Almost surely, 210222023330 is an apocalyptic number.

10222023330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222023330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106249144).

10222023330 is an abundant number, since it is smaller than the sum of its proper divisors (17990474958).

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

10222023330 is a wasteful number, since it uses less digits than its factorization.

10222023330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17092 (or 17089 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10222023330 its reverse (3332022201), we get a palindrome (13554045531).

The spelling of 10222023330 in words is "ten billion, two hundred twenty-two million, twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 401 510 765 802 1203 1530 2005 2406 3609 4010 6015 6817 7218 12030 13634 16661 18045 20451 33322 34085 36090 40902 49983 61353 68170 83305 99966 102255 122706 149949 166610 204510 249915 283237 299898 306765 499830 566474 613530 749745 849711 1416185 1499490 1699422 2549133 2832370 4248555 5098266 6681061 8497110 12745665 13362122 20043183 25491330 33405305 40086366 60129549 66810610 100215915 113578037 120259098 200431830 227156074 300647745 340734111 567890185 601295490 681468222 1022202333 1135780370 1703670555 2044404666 3407341110 5111011665 10222023330