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22101392384 = 210137157543
BaseRepresentation
bin10100100101010110…
…000111110000000000
32010001021200001200022
4110211112013300000
5330230424024014
614053033313012
71411456510211
oct244526076000
963037601608
1022101392384
119411729245
124349865768
132112b62496
1410d9415408
158954aaa8e
hex525587c00

22101392384 has 44 divisors (see below), whose sum is σ = 44503974384. Its totient is φ = 10969964544.

The previous prime is 22101392311. The next prime is 22101392441. The reversal of 22101392384 is 48329310122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61517 + ... + 219059.

Almost surely, 222101392384 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 22101392384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22251987192).

22101392384 is an abundant number, since it is smaller than the sum of its proper divisors (22402582000).

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

22101392384 is a wasteful number, since it uses less digits than its factorization.

22101392384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157700 (or 157682 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 22101392384 in words is "twenty-two billion, one hundred one million, three hundred ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 512 548 1024 1096 2192 4384 8768 17536 35072 70144 140288 157543 315086 630172 1260344 2520688 5041376 10082752 20165504 21583391 40331008 43166782 80662016 86333564 161324032 172667128 345334256 690668512 1381337024 2762674048 5525348096 11050696192 22101392384