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22245233024 = 277151164419
BaseRepresentation
bin10100101101111010…
…110101000110000000
32010102022022220221102
4110231322311012000
5331024234424044
614115212313532
71415154234530
oct245572650600
963368286842
1022245233024
119485943903
124389a728a8
1321368b59a1
1411105794c0
158a2e2024e
hex52deb5180

22245233024 has 64 divisors (see below), whose sum is σ = 50983353600. Its totient is φ = 9470476800.

The previous prime is 22245232993. The next prime is 22245233027. The reversal of 22245233024 is 42033254222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22245233027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53087 + ... + 217505.

It is an arithmetic number, because the mean of its divisors is an integer number (796614900).

Almost surely, 222245233024 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 22245233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25491676800).

22245233024 is an abundant number, since it is smaller than the sum of its proper divisors (28738120576).

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

22245233024 is a wasteful number, since it uses less digits than its factorization.

22245233024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164591 (or 164579 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

Adding to 22245233024 its reverse (42033254222), we get a palindrome (64278487246).

The spelling of 22245233024 in words is "twenty-two billion, two hundred forty-five million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 151 224 302 448 604 896 1057 1208 2114 2416 4228 4832 8456 9664 16912 19328 33824 67648 135296 164419 328838 657676 1150933 1315352 2301866 2630704 4603732 5261408 9207464 10522816 18414928 21045632 24827269 36829856 49654538 73659712 99309076 147319424 173790883 198618152 347581766 397236304 695163532 794472608 1390327064 1588945216 2780654128 3177890432 5561308256 11122616512 22245233024