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155222144 = 2771115749
BaseRepresentation
bin10010100000010…
…00000010000000
3101211002002202022
421100020002000
5304214102034
623222541012
73563236460
oct1120100200
9354062668
10155222144
117a689770
1243b97768
1326209b2c
1416887ba0
15d961b2e
hex9408080

155222144 has 64 divisors (see below), whose sum is σ = 385560000. Its totient is φ = 60472320.

The previous prime is 155222143. The next prime is 155222173. The reversal of 155222144 is 441222551.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (155222143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1982 + ... + 17730.

It is an arithmetic number, because the mean of its divisors is an integer number (6024375).

Almost surely, 2155222144 is an apocalyptic number.

155222144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192780000).

155222144 is an abundant number, since it is smaller than the sum of its proper divisors (230337856).

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

155222144 is a wasteful number, since it uses less digits than its factorization.

155222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15781 (or 15769 counting only the distinct ones).

The product of its digits is 3200, while the sum is 26.

The square root of 155222144 is about 12458.8179214563. The cubic root of 155222144 is about 537.4250340013.

Adding to 155222144 its reverse (441222551), we get a palindrome (596444695).

The spelling of 155222144 in words is "one hundred fifty-five million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 15749 31498 62996 110243 125992 173239 220486 251984 346478 440972 503968 692956 881944 1007936 1212673 1385912 1763888 2015872 2425346 2771824 3527776 4850692 5543648 7055552 9701384 11087296 14111104 19402768 22174592 38805536 77611072 155222144