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220342140 = 22335408041
BaseRepresentation
bin11010010001000…
…10011101111100
3120100121112121000
431020202131330
5422401422030
633510410300
75313606624
oct1510423574
9510545530
10220342140
11103417347
1261960990
133685a385
1421399884
1514526860
hexd22277c

220342140 has 48 divisors (see below), whose sum is σ = 685510560. Its totient is φ = 58757760.

The previous prime is 220342123. The next prime is 220342201. The reversal of 220342140 is 41243022.

220342140 is a `hidden beast` number, since 2 + 203 + 421 + 40 = 666.

220342140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203481 + ... + 204560.

It is an arithmetic number, because the mean of its divisors is an integer number (14281470).

Almost surely, 2220342140 is an apocalyptic number.

220342140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220342140 is an abundant number, since it is smaller than the sum of its proper divisors (465168420).

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

220342140 is a wasteful number, since it uses less digits than its factorization.

220342140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408059 (or 408051 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220342140 is about 14843.9260305352. The cubic root of 220342140 is about 603.9938562011.

Adding to 220342140 its reverse (41243022), we get a palindrome (261585162).

The spelling of 220342140 in words is "two hundred twenty million, three hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 408041 816082 1224123 1632164 2040205 2448246 3672369 4080410 4896492 6120615 7344738 8160820 11017107 12241230 14689476 18361845 22034214 24482460 36723690 44068428 55085535 73447380 110171070 220342140