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22670219808 = 2532541145501
BaseRepresentation
bin10101000111010000…
…000001101000100000
32011111221000111012200
4111013100001220200
5332412034013213
614225313253200
71431534455205
oct250720015040
964457014180
1022670219808
119683825755
124488264200
1321a3965462
141150ba5cac
158ca3bc273
hex547401a20

22670219808 has 72 divisors (see below), whose sum is σ = 64588046796. Its totient is φ = 7542720000.

The previous prime is 22670219807. The next prime is 22670219821. The reversal of 22670219808 is 80891207622.

It can be written as a sum of positive squares in 2 ways, for example, as 22209344784 + 460875024 = 149028^2 + 21468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×226702198082 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22670219801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83058 + ... + 228558.

Almost surely, 222670219808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22670219808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32294023398).

22670219808 is an abundant number, since it is smaller than the sum of its proper divisors (41917826988).

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

22670219808 is a wasteful number, since it uses less digits than its factorization.

22670219808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146058 (or 146047 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 22670219808 in words is "twenty-two billion, six hundred seventy million, two hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 541 1082 1623 2164 3246 4328 4869 6492 8656 9738 12984 17312 19476 25968 38952 51936 77904 145501 155808 291002 436503 582004 873006 1164008 1309509 1746012 2328016 2619018 3492024 4656032 5238036 6984048 10476072 13968096 20952144 41904288 78716041 157432082 236148123 314864164 472296246 629728328 708444369 944592492 1259456656 1416888738 1889184984 2518913312 2833777476 3778369968 5667554952 7556739936 11335109904 22670219808