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2212534325144 = 2311132167389237
BaseRepresentation
bin100000001100100101010…
…100101000111110011000
321211111221022200020010002
4200030211110220332120
5242222232241401034
64412231345112132
7315564443314043
oct40144524507630
97744838606102
102212534325144
1178336aa44a90
122b8979328648
1313084462a990
147913151bc5a
153c846a6ae7e
hex20325528f98

2212534325144 has 64 divisors (see below), whose sum is σ = 4874043918240. Its totient is φ = 928282844160.

The previous prime is 2212534325143. The next prime is 2212534325149. The reversal of 2212534325144 is 4415234352122.

It is a junction number, because it is equal to n+sod(n) for n = 2212534325098 and 2212534325107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212534325143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24749294 + ... + 24838530.

Almost surely, 22212534325144 is an apocalyptic number.

It is an amenable number.

2212534325144 is an abundant number, since it is smaller than the sum of its proper divisors (2661509593096).

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

2212534325144 is a wasteful number, since it uses less digits than its factorization.

2212534325144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110940 (or 110936 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

Adding to 2212534325144 its reverse (4415234352122), we get a palindrome (6627768677266).

The spelling of 2212534325144 in words is "two trillion, two hundred twelve billion, five hundred thirty-four million, three hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 21673 43346 86692 89237 173384 178474 238403 281749 356948 476806 563498 713896 953612 981607 1126996 1160081 1907224 1963214 2253992 2320162 3099239 3926428 4640324 6198478 7852856 9280648 12396956 12760891 24793912 25521782 51043564 102087128 1934033501 3868067002 7736134004 15472268008 21274368511 25142435513 42548737022 50284871026 85097474044 100569742052 170194948088 201139484104 276566790643 553133581286 1106267162572 2212534325144