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2114535220 = 225725936571
BaseRepresentation
bin111111000001001…
…0011111100110100
312110100212112000021
41332002103330310
513312310111340
6545453454524
7103254152500
oct17602237464
95410775007
102114535220
11995666676
124b01a1444
13279109a95
14160b91300
15c5988e4a
hex7e093f34

2114535220 has 72 divisors (see below), whose sum is σ = 5253202080. Its totient is φ = 712676160.

The previous prime is 2114535211. The next prime is 2114535221. The reversal of 2114535220 is 225354112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114535221) 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 23 ways as a sum of consecutive naturals, for example, 39535 + ... + 76105.

It is an arithmetic number, because the mean of its divisors is an integer number (72961140).

Almost surely, 22114535220 is an apocalyptic number.

2114535220 is a gapful number since it is divisible by the number (20) 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 2114535220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626601040).

2114535220 is an abundant number, since it is smaller than the sum of its proper divisors (3138666860).

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

2114535220 is a wasteful number, since it uses less digits than its factorization.

2114535220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36653 (or 36644 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2114535220 is about 45984.0757219279. The cubic root of 2114535220 is about 1283.5268982596.

Adding to 2114535220 its reverse (225354112), we get a palindrome (2339889332).

It can be divided in two parts, 21145 and 35220, that added together give a palindrome (56365).

The spelling of 2114535220 in words is "two billion, one hundred fourteen million, five hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 59 70 98 118 140 196 236 245 295 413 490 590 826 980 1180 1652 2065 2891 4130 5782 8260 11564 14455 28910 36571 57820 73142 146284 182855 255997 365710 511994 731420 1023988 1279985 1791979 2157689 2559970 3583958 4315378 5119940 7167916 8630756 8959895 10788445 15103823 17919790 21576890 30207646 35839580 43153780 60415292 75519115 105726761 151038230 211453522 302076460 422907044 528633805 1057267610 2114535220