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22101017832 = 233434106509
BaseRepresentation
bin10100100101010100…
…101100010011101000
32010001020222000220000
4110211110230103220
5330230330032312
614053021303000
71411453360215
oct244524542350
963036860800
1022101017832
1194114a28a3
124349704a60
132112a60b5a
1410d9358b0c
15895434adc
hex52552c4e8

22101017832 has 40 divisors (see below), whose sum is σ = 61903315650. Its totient is φ = 7367005728.

The previous prime is 22101017831. The next prime is 22101017833. The reversal of 22101017832 is 23871010122.

It is an interprime number because it is at equal distance from previous prime (22101017831) and next prime (22101017833).

It can be written as a sum of positive squares in only one way, i.e., 22089687876 + 11329956 = 148626^2 + 3366^2 .

It is a super-3 number, since 3×221010178323 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22101017796 and 22101017805.

It is not an unprimeable number, because it can be changed into a prime (22101017831) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17052607 + ... + 17053902.

Almost surely, 222101017832 is an apocalyptic number.

It is an amenable number.

22101017832 is an abundant number, since it is smaller than the sum of its proper divisors (39802297818).

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

22101017832 is a wasteful number, since it uses less digits than its factorization.

22101017832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34106527 (or 34106514 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 22101017832 its reverse (23871010122), we get a palindrome (45972027954).

The spelling of 22101017832 in words is "twenty-two billion, one hundred one million, seventeen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 34106509 68213018 102319527 136426036 204639054 272852072 306958581 409278108 613917162 818556216 920875743 1227834324 1841751486 2455668648 2762627229 3683502972 5525254458 7367005944 11050508916 22101017832