Search a number
-
+
22113321210 = 2325379417057
BaseRepresentation
bin10100100110000011…
…101000000011111010
32010002010010002221200
4110212003220003322
5330242002234320
614054141115030
71411663062141
oct244603500372
963063102850
1022113321210
119418436582
124351858a76
13211547ac66
1410dac3c758
15896565290
hex5260e80fa

22113321210 has 96 divisors (see below), whose sum is σ = 59119671312. Its totient is φ = 5730600960.

The previous prime is 22113321179. The next prime is 22113321221. The reversal of 22113321210 is 1212331122.

22113321210 is a `hidden beast` number, since 2 + 211 + 332 + 121 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21346086609 + 767234601 = 146103^2 + 27699^2 .

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

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, 3130002 + ... + 3137058.

Almost surely, 222113321210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22113321210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29559835656).

22113321210 is an abundant number, since it is smaller than the sum of its proper divisors (37006350102).

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

22113321210 is a wasteful number, since it uses less digits than its factorization.

22113321210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8048 (or 8045 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22113321210 its reverse (1212331122), we get a palindrome (23325652332).

The spelling of 22113321210 in words is "twenty-two billion, one hundred thirteen million, three hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 941 1110 1665 1882 2823 3330 4705 5646 7057 8469 9410 14114 14115 16938 21171 28230 34817 35285 42342 42345 63513 69634 70570 84690 104451 105855 127026 174085 208902 211710 261109 313353 317565 348170 522218 522255 626706 635130 783327 1044510 1305545 1566654 1566765 2349981 2611090 3133530 3916635 4699962 6640637 7833270 11749905 13281274 19921911 23499810 33203185 39843822 59765733 66406370 99609555 119531466 199219110 245703569 298828665 491407138 597657330 737110707 1228517845 1474221414 2211332121 2457035690 3685553535 4422664242 7371107070 11056660605 22113321210