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214226554140 = 22335541733301
BaseRepresentation
bin1100011110000011100…
…1011100110100011100
3202110221211001111221000
43013200321130310130
512002213444213030
6242225254310300
721322506444144
oct3074071346434
9673854044830
10214226554140
1182942339965
1235628058390
1317280851a51
14a5236cd924
15588c409860
hex31e0e5cd1c

214226554140 has 96 divisors (see below), whose sum is σ = 667715469120. Its totient is φ = 57021408000.

The previous prime is 214226554049. The next prime is 214226554231. The reversal of 214226554140 is 41455622412.

214226554140 is a `hidden beast` number, since 2 + 1 + 42 + 26 + 554 + 1 + 40 = 666.

214226554140 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 (214226554049) and next prime (214226554231).

It is a super-2 number, since 2×2142265541402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214226554095 and 214226554104.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 74511 + ... + 658790.

It is an arithmetic number, because the mean of its divisors is an integer number (6955369470).

Almost surely, 2214226554140 is an apocalyptic number.

214226554140 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 214226554140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333857734560).

214226554140 is an abundant number, since it is smaller than the sum of its proper divisors (453488914980).

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

214226554140 is a wasteful number, since it uses less digits than its factorization.

214226554140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733860 (or 733852 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 214226554140 in words is "two hundred fourteen billion, two hundred twenty-six million, five hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 541 1082 1623 2164 2705 3246 4869 5410 6492 8115 9738 10820 14607 16230 19476 24345 29214 32460 48690 58428 73035 97380 146070 292140 733301 1466602 2199903 2933204 3666505 4399806 6599709 7333010 8799612 10999515 13199418 14666020 19799127 21999030 26398836 32998545 39598254 43998060 65997090 79196508 98995635 131994180 197991270 395982540 396715841 793431682 1190147523 1586863364 1983579205 2380295046 3570442569 3967158410 4760590092 5950737615 7140885138 7934316820 10711327707 11901475230 14281770276 17852212845 21422655414 23802950460 35704425690 42845310828 53556638535 71408851380 107113277070 214226554140