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10222033320 = 2332528394537
BaseRepresentation
bin10011000010100011…
…11101100110101000
3222101101120002120200
421201101331212220
5131413320031240
64410153352200
7511211564262
oct114121754650
928341502520
1010222033320
114376086a24
121b93408660
13c6b9ba535
146cd83cb32
153ec61a930
hex26147d9a8

10222033320 has 48 divisors (see below), whose sum is σ = 33221609460. Its totient is φ = 2725875456.

The previous prime is 10222033319. The next prime is 10222033321. The reversal of 10222033320 is 2333022201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10222033319) and next prime (10222033321).

It can be written as a sum of positive squares in 2 ways, for example, as 9773695044 + 448338276 = 98862^2 + 21174^2 .

It is a super-3 number, since 3×102220333203 (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10222033293 and 10222033302.

It is not an unprimeable number, because it can be changed into a prime (10222033321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14196909 + ... + 14197628.

Almost surely, 210222033320 is an apocalyptic number.

10222033320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222033320 is an abundant number, since it is smaller than the sum of its proper divisors (22999576140).

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

10222033320 is a wasteful number, since it uses less digits than its factorization.

10222033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28394554 (or 28394547 counting only the distinct ones).

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

Adding to 10222033320 its reverse (2333022201), we get a palindrome (12555055521).

The spelling of 10222033320 in words is "ten billion, two hundred twenty-two million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 28394537 56789074 85183611 113578148 141972685 170367222 227156296 255550833 283945370 340734444 425918055 511101666 567890740 681468888 851836110 1022203332 1135781480 1277754165 1703672220 2044406664 2555508330 3407344440 5111016660 10222033320