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22051953001 = 132114232
BaseRepresentation
bin10100100010011001…
…100001100101101001
32002220211122021121001
4110202121201211221
5330130244444001
614044105515001
71410316336111
oct244231414551
962824567531
1022051953001
119396830751
1243351a2a61
132105842300
1410d2a26041
15890e92001
hex522661969

22051953001 has 9 divisors (see below), whose sum is σ = 23880832599. Its totient is φ = 20353866936.

The previous prime is 22051952987. The next prime is 22051953067. The reversal of 22051953001 is 10035915022.

The square root of 22051953001 is 148499.

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., 3262123225 + 18789829776 = 57115^2 + 137076^2 .

It is not a de Polignac number, because 22051953001 - 217 = 22051821929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22051953401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1924776 + ... + 1936198.

Almost surely, 222051953001 is an apocalyptic number.

22051953001 is the 148499-th square number.

22051953001 is the 74250-th centered octagonal number.

It is an amenable number.

22051953001 is a deficient number, since it is larger than the sum of its proper divisors (1828879598).

22051953001 is an frugal number, since it uses more digits than its factorization.

22051953001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22872 (or 11436 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

It can be divided in two parts, 2205195 and 3001, that added together give a square (2208196 = 14862).

The spelling of 22051953001 in words is "twenty-two billion, fifty-one million, nine hundred fifty-three thousand, one".

Divisors: 1 13 169 11423 148499 1930487 130484929 1696304077 22051953001