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214155942 = 2371113181197
BaseRepresentation
bin11001100001111…
…00001010100110
3112220222020201120
430300330022212
5414310442232
633130034410
75210203230
oct1460741246
9486866646
10214155942
11aa981590
125b878a06
13354a26c0
1420629250
1513c0392c
hexcc3c2a6

214155942 has 128 divisors (see below), whose sum is σ = 581188608. Its totient is φ = 50803200.

The previous prime is 214155937. The next prime is 214155943. The reversal of 214155942 is 249551412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214155943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1086988 + ... + 1087184.

It is an arithmetic number, because the mean of its divisors is an integer number (4540536).

Almost surely, 2214155942 is an apocalyptic number.

214155942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 214155942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290594304).

214155942 is an abundant number, since it is smaller than the sum of its proper divisors (367032666).

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

214155942 is a wasteful number, since it uses less digits than its factorization.

214155942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414.

The product of its digits is 14400, while the sum is 33.

The square root of 214155942 is about 14634.0678555212. The cubic root of 214155942 is about 598.2876566717.

The spelling of 214155942 in words is "two hundred fourteen million, one hundred fifty-five thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 181 182 197 231 273 286 362 394 429 462 543 546 591 858 1001 1086 1182 1267 1379 1991 2002 2167 2353 2534 2561 2758 3003 3801 3982 4137 4334 4706 5122 5973 6006 6501 7059 7602 7683 8274 11946 13002 13937 14118 15169 15366 16471 17927 25883 27874 28171 30338 32942 35657 35854 41811 45507 49413 51766 53781 56342 71314 77649 83622 84513 91014 98826 106971 107562 155298 169026 181181 197197 213942 249599 362362 392227 394394 463541 499198 543543 591591 748797 784454 927082 1087086 1176681 1183182 1390623 1497594 2353362 2745589 2781246 3244787 5098951 5491178 6489574 8236767 9734361 10197902 15296853 16473534 19468722 30593706 35692657 71385314 107077971 214155942