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134224214190 = 23511715728733
BaseRepresentation
bin111110100000001100…
…0101111100010101110
3110211110022112120010020
41331000120233202232
54144342344323230
6141354534423010
712461125665423
oct1750030574256
9424408476106
10134224214190
1151a19084840
122201b501a66
13c8710aab61
1466d4505d4a
153758b27810
hex1f4062f8ae

134224214190 has 64 divisors (see below), whose sum is σ = 356373084672. Its totient is φ = 32080899200.

The previous prime is 134224214171. The next prime is 134224214281. The reversal of 134224214190 is 91412422431.

It is a super-2 number, since 2×1342242141902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2840937 + ... + 2887796.

It is an arithmetic number, because the mean of its divisors is an integer number (5568329448).

Almost surely, 2134224214190 is an apocalyptic number.

134224214190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134224214190 is an abundant number, since it is smaller than the sum of its proper divisors (222148870482).

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

134224214190 is a wasteful number, since it uses less digits than its factorization.

134224214190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728825.

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 134224214190 in words is "one hundred thirty-four billion, two hundred twenty-four million, two hundred fourteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 330 355 426 710 781 1065 1562 2130 2343 3905 4686 7810 11715 23430 5728733 11457466 17186199 28643665 34372398 57287330 63016063 85930995 126032126 171861990 189048189 315080315 378096378 406740043 630160630 813480086 945240945 1220220129 1890481890 2033700215 2440440258 4067400430 4474140473 6101100645 8948280946 12202201290 13422421419 22370702365 26844842838 44741404730 67112107095 134224214190