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22478705041 = 1321926072
BaseRepresentation
bin10100111011110101…
…011101000110010001
32011000120122112100011
4110323311131012101
5332014022030131
614154312354521
71424020561132
oct247365350621
964016575304
1022478705041
119595708891
1244340a5a41
13217308c400
141133591c89
158b868c0b1
hex53bd5d191

22478705041 has 27 divisors (see below), whose sum is σ = 25731761211. Its totient is φ = 19625106384.

The previous prime is 22478705033. The next prime is 22478705047. The reversal of 22478705041 is 14050787422.

The square root of 22478705041 is 149929.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3325252225 + 19153452816 = 57665^2 + 138396^2 .

It is not a de Polignac number, because 22478705041 - 23 = 22478705033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22478704985 and 22478705003.

It is not an unprimeable number, because it can be changed into a prime (22478705047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37032160 + ... + 37032766.

It is an arithmetic number, because the mean of its divisors is an integer number (953028193).

Almost surely, 222478705041 is an apocalyptic number.

22478705041 is the 149929-th square number.

22478705041 is the 74965-th centered octagonal number.

It is an amenable number.

22478705041 is a deficient number, since it is larger than the sum of its proper divisors (3253056170).

22478705041 is an frugal number, since it uses more digits than its factorization.

22478705041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 22478705041 in words is "twenty-two billion, four hundred seventy-eight million, seven hundred five thousand, forty-one".

Divisors: 1 13 19 169 247 361 607 3211 4693 7891 11533 61009 102583 149929 219127 368449 1949077 2848651 4789837 7000531 37032463 62267881 91006903 133010089 1183089739 1729131157 22478705041