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214600650640 = 24553110345887
BaseRepresentation
bin1100011111011100110…
…0100000111110010000
3202111220212222120211221
43013313030200332100
512004000231310030
6242330340414424
721335001301405
oct3076714407620
9674825876757
10214600650640
1183014522122
12357113a7414
13173101c3b1c
14a55b2702ac
1558b01a2e7a
hex31f7320f90

214600650640 has 80 divisors (see below), whose sum is σ = 508832575488. Its totient is φ = 84142443008.

The previous prime is 214600650637. The next prime is 214600650643. The reversal of 214600650640 is 46056006412.

214600650640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214600650637) and next prime (214600650643).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2146006506402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214600650596 and 214600650605.

It is not an unprimeable number, because it can be changed into a prime (214600650643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4653777 + ... + 4699663.

Almost surely, 2214600650640 is an apocalyptic number.

214600650640 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 214600650640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254416287744).

214600650640 is an abundant number, since it is smaller than the sum of its proper divisors (294231924848).

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

214600650640 is a wasteful number, since it uses less digits than its factorization.

214600650640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47056 (or 47050 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 214600650640 in words is "two hundred fourteen billion, six hundred million, six hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 1103 2120 2206 4240 4412 5515 8824 11030 17648 22060 44120 45887 58459 88240 91774 116918 183548 229435 233836 292295 367096 458870 467672 584590 734192 917740 935344 1169180 1835480 2338360 2432011 3670960 4676720 4864022 9728044 12160055 19456088 24320110 38912176 48640220 50613361 97280440 101226722 194560880 202453444 253066805 404906888 506133610 809813776 1012267220 2024534440 2682508133 4049068880 5365016266 10730032532 13412540665 21460065064 26825081330 42920130128 53650162660 107300325320 214600650640