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2234216120 = 235557100279
BaseRepresentation
bin1000010100101011…
…0110111010111000
312202201001221100012
42011022312322320
514033424403440
61005411001052
7106236344423
oct20512667270
95681057305
102234216120
11a4717a704
12524299188
13297b51696
14172a269ba
15d1229e65
hex852b6eb8

2234216120 has 32 divisors (see below), whose sum is σ = 5036061600. Its totient is φ = 892073088.

The previous prime is 2234216093. The next prime is 2234216129. The reversal of 2234216120 is 216124322.

It is a happy number.

2234216120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234216129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27860 + ... + 72419.

It is an arithmetic number, because the mean of its divisors is an integer number (157376925).

Almost surely, 22234216120 is an apocalyptic number.

2234216120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2234216120 is an abundant number, since it is smaller than the sum of its proper divisors (2801845480).

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

2234216120 is a wasteful number, since it uses less digits than its factorization.

2234216120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100847 (or 100843 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2234216120 is about 47267.4953853068. The cubic root of 2234216120 is about 1307.2993953661.

The spelling of 2234216120 in words is "two billion, two hundred thirty-four million, two hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 557 1114 2228 2785 4456 5570 11140 22280 100279 200558 401116 501395 802232 1002790 2005580 4011160 55855403 111710806 223421612 279277015 446843224 558554030 1117108060 2234216120