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221140120 = 23537149419
BaseRepresentation
bin11010010111001…
…01010010011000
3120102010002012211
431023211102120
5423102440440
633535444504
75323442245
oct1513452230
9512102184
10221140120
11103911933
1262086734
1336a79656
14215265cc
1514632eea
hexd2e5498

221140120 has 32 divisors (see below), whose sum is σ = 511016400. Its totient is φ = 86064768.

The previous prime is 221140111. The next prime is 221140121. The reversal of 221140120 is 21041122.

It is a happy number.

It is a super-2 number, since 2×2211401202 = 97805905347228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221140120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221140121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73230 + ... + 76189.

Almost surely, 2221140120 is an apocalyptic number.

221140120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221140120 is an abundant number, since it is smaller than the sum of its proper divisors (289876280).

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

221140120 is a wasteful number, since it uses less digits than its factorization.

221140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149467 (or 149463 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 221140120 is about 14870.7807461478. The cubic root of 221140120 is about 604.7221090190.

Adding to 221140120 its reverse (21041122), we get a palindrome (242181242).

The spelling of 221140120 in words is "two hundred twenty-one million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 149419 298838 597676 747095 1195352 1494190 2988380 5528503 5976760 11057006 22114012 27642515 44228024 55285030 110570060 221140120