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22154054400060 = 22351133566749091
BaseRepresentation
bin1010000100110001001001…
…00010101111100000111100
32220102220111010211201210120
411002120210202233200330
510400433000411300220
6115041233155334540
74444402056226362
oct502304442574074
986386433751716
1022154054400060
117071533176820
12259972bbb1450
13c4917008503b
14568394b33632
15286427861a40
hex1426248af83c

22154054400060 has 48 divisors (see below), whose sum is σ = 67670566169472. Its totient is φ = 5370679854400.

The previous prime is 22154054400041. The next prime is 22154054400077. The reversal of 22154054400060 is 6000445045122.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 22154054399994 and 22154054400030.

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 15 ways as a sum of consecutive naturals, for example, 16783373886 + ... + 16783375205.

It is an arithmetic number, because the mean of its divisors is an integer number (1409803461864).

Almost surely, 222154054400060 is an apocalyptic number.

22154054400060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22154054400060 is an abundant number, since it is smaller than the sum of its proper divisors (45516511769412).

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

22154054400060 is a wasteful number, since it uses less digits than its factorization.

22154054400060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33566749114 (or 33566749112 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 22154054400060 its reverse (6000445045122), we get a palindrome (28154499445182).

The spelling of 22154054400060 in words is "twenty-two trillion, one hundred fifty-four billion, fifty-four million, four hundred thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 33566749091 67133498182 100700247273 134266996364 167833745455 201400494546 335667490910 369234240001 402800989092 503501236365 671334981820 738468480002 1007002472730 1107702720003 1476936960004 1846171200005 2014004945460 2215405440006 3692342400010 4430810880012 5538513600015 7384684800020 11077027200030 22154054400060