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22246282464 = 253733104587
BaseRepresentation
bin10100101101111110…
…110101010011100000
32010102101022020111120
4110231332311103200
5331030022014324
614115251012240
71415166165240
oct245576652340
963371266446
1022246282464
1194864a030a
12438a29a080
132136b92563
14111076db20
158a307b179
hex52dfb54e0

22246282464 has 48 divisors (see below), whose sum is σ = 66738849408. Its totient is φ = 6356080512.

The previous prime is 22246282451. The next prime is 22246282469. The reversal of 22246282464 is 46428264222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×222462824642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22246282469) 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 7 ways as a sum of consecutive naturals, for example, 16551622 + ... + 16552965.

It is an arithmetic number, because the mean of its divisors is an integer number (1390392696).

Almost surely, 222246282464 is an apocalyptic number.

22246282464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22246282464 is an abundant number, since it is smaller than the sum of its proper divisors (44492566944).

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

22246282464 is a wasteful number, since it uses less digits than its factorization.

22246282464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33104607 (or 33104599 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The spelling of 22246282464 in words is "twenty-two billion, two hundred forty-six million, two hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 33104587 66209174 99313761 132418348 198627522 231732109 264836696 397255044 463464218 529673392 695196327 794510088 926928436 1059346784 1390392654 1589020176 1853856872 2780785308 3178040352 3707713744 5561570616 7415427488 11123141232 22246282464