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22332864378 = 23116710349033
BaseRepresentation
bin10100110011001001…
…000111011101111010
32010122102020001120010
4110303021013131322
5331214203130003
614132022442350
71420300133526
oct246311073572
963572201503
1022332864378
119520357610
1243b32933b6
13214bab8766
14111c06ad86
158aa980003
hex53324777a

22332864378 has 64 divisors (see below), whose sum is σ = 49934656512. Its totient is φ = 6601668480.

The previous prime is 22332864353. The next prime is 22332864401. The reversal of 22332864378 is 87346823322.

It is a super-2 number, since 2×223328643782 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 430950 + ... + 479982.

It is an arithmetic number, because the mean of its divisors is an integer number (780229008).

Almost surely, 222332864378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22332864378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24967328256).

22332864378 is an abundant number, since it is smaller than the sum of its proper divisors (27601792134).

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

22332864378 is a wasteful number, since it uses less digits than its factorization.

22332864378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49219.

The product of its digits is 2322432, while the sum is 48.

The spelling of 22332864378 in words is "twenty-two billion, three hundred thirty-two million, eight hundred sixty-four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 11 22 33 66 67 103 134 201 206 309 402 618 737 1133 1474 2211 2266 3399 4422 6798 6901 13802 20703 41406 49033 75911 98066 147099 151822 227733 294198 455466 539363 1078726 1618089 3236178 3285211 5050399 6570422 9855633 10100798 15151197 19711266 30302394 36137321 55554389 72274642 108411963 111108778 166663167 216823926 333326334 338376733 676753466 1015130199 2030260398 3722144063 7444288126 11166432189 22332864378