Search a number
-
+
22001341788 = 223214916272521
BaseRepresentation
bin10100011111011000…
…011101010101011100
32002210022101222001200
4110133120131111130
5330024320414123
614035101035500
71406133214416
oct243730352534
962708358050
1022001341788
1193702027a8
124320255b90
1320c820194a
1410ca00d9b6
1588b7e6143
hex51f61d55c

22001341788 has 72 divisors (see below), whose sum is σ = 56044388400. Its totient is φ = 7277195520.

The previous prime is 22001341777. The next prime is 22001341799. The reversal of 22001341788 is 88714310022.

22001341788 is a `hidden beast` number, since 220 + 0 + 13 + 417 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (22001341777) and next prime (22001341799).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8725968 + ... + 8728488.

Almost surely, 222001341788 is an apocalyptic number.

It is an amenable number.

22001341788 is an abundant number, since it is smaller than the sum of its proper divisors (34043046612).

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

22001341788 is a wasteful number, since it uses less digits than its factorization.

22001341788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4307 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 22001341788 in words is "twenty-two billion, one million, three hundred forty-one thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1627 1788 2521 2682 3254 4881 5042 5364 6508 7563 9762 10084 14643 15126 19524 22689 29286 30252 45378 58572 90756 242423 375629 484846 727269 751258 969692 1126887 1454538 1502516 2181807 2253774 2909076 3380661 4101667 4363614 4507548 6761322 8203334 8727228 12305001 13522644 16406668 24610002 36915003 49220004 73830006 147660012 611148383 1222296766 1833445149 2444593532 3666890298 5500335447 7333780596 11000670894 22001341788