Search a number
-
+
149201514 = 237711443
BaseRepresentation
bin10001110010010…
…10001001101010
3101101202020000000
420321022021222
5301143422024
622445523430
73461122560
oct1071121152
9341666000
10149201514
1177247340
1241b73576
1324bac627
1415b5ba30
15d172cc9
hex8e4a26a

149201514 has 128 divisors (see below), whose sum is σ = 419420160. Its totient is φ = 38666160.

The previous prime is 149201497. The next prime is 149201527. The reversal of 149201514 is 415102941.

149201514 is a `hidden beast` number, since 149 + 2 + 0 + 1 + 514 = 666.

It is a super-2 number, since 2×1492015142 = 44522183559784392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336577 + ... + 337019.

It is an arithmetic number, because the mean of its divisors is an integer number (3276720).

Almost surely, 2149201514 is an apocalyptic number.

149201514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149201514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209710080).

149201514 is an abundant number, since it is smaller than the sum of its proper divisors (270218646).

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

149201514 is an equidigital number, since it uses as much as digits as its factorization.

149201514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 149201514 is about 12214.8071618016. The cubic root of 149201514 is about 530.3848089464.

The spelling of 149201514 in words is "one hundred forty-nine million, two hundred one thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 443 462 486 567 594 693 729 886 891 1134 1329 1386 1458 1701 1782 2079 2187 2658 2673 3101 3402 3987 4158 4374 4873 5103 5346 6202 6237 7974 8019 9303 9746 10206 11961 12474 14619 15309 16038 18606 18711 23922 24057 27909 29238 30618 34111 35883 37422 43857 48114 55818 56133 68222 71766 83727 87714 102333 107649 112266 131571 167454 168399 204666 215298 251181 263142 306999 322947 336798 394713 502362 613998 645894 753543 789426 920997 968841 1184139 1507086 1841994 1937682 2260629 2368278 2762991 3552417 4521258 5525982 6781887 7104834 8288973 10657251 13563774 16577946 21314502 24866919 49733838 74600757 149201514