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22000000000088 = 231117149197501001
BaseRepresentation
bin1010000000010010001100…
…01011110110000001011000
32212220011211211022100202002
411000021012023312001120
510340422000000000323
6114442354355100132
74430306336360135
oct500110613660130
985804754270662
1022000000000088
1170121695089a0
1225738b75a1648
13c3778b848156
14560b3cb0b58c
1528240cd63828
hex1402462f6058

22000000000088 has 128 divisors (see below), whose sum is σ = 48210420456000. Its totient is φ = 9301125120000.

The previous prime is 22000000000049. The next prime is 22000000000091. The reversal of 22000000000088 is 88000000000022.

It is a super-3 number, since 3×220000000000883 (a number of 41 digits) contains 333 as substring.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 21999999999979 and 22000000000069.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43661588 + ... + 44162588.

Almost surely, 222000000000088 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 22000000000088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105210228000).

22000000000088 is an abundant number, since it is smaller than the sum of its proper divisors (26210420455912).

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

22000000000088 is a wasteful number, since it uses less digits than its factorization.

22000000000088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501381 (or 501377 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 220000000000 and 88, that multiplied together give a square (19360000000000 = 44000002).

The spelling of 22000000000088 in words is "twenty-two trillion, eighty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 149 187 197 298 374 394 596 748 788 1192 1496 1576 1639 2167 2533 3278 3349 4334 5066 6556 6698 8668 10132 13112 13396 17336 20264 26792 27863 29353 36839 55726 58706 73678 111452 117412 147356 222904 234824 294712 322883 499001 501001 645766 998002 1002002 1291532 1996004 2004004 2583064 3992008 4008008 5489011 5511011 8517017 10978022 11022022 17034034 21956044 22044044 34068068 43912088 44088088 68136136 74649149 93687187 98697197 149298298 187374374 197394394 298596596 374748748 394788788 597193192 749497496 789577576 821140639 1085669167 1269035533 1642281278 1677852349 2171338334 2538071066 3284562556 3355704698 4342676668 5076142132 6569125112 6711409396 8685353336 10152284264 13422818792 13959390863 14705882353 18456375839 27918781726 29411764706 36912751678 55837563452 58823529412 73825503356 111675126904 117647058824 147651006712 161764705883 250000000001 323529411766 500000000002 647058823532 1000000000004 1294117647064 2000000000008 2750000000011 5500000000022 11000000000044 22000000000088