Search a number
-
+
154212500214 = 233176112012293
BaseRepresentation
bin1000111110011111001…
…0000000001011110110
3112202001100000200211000
42033213302000023312
510011311400001324
6154502205024130
714066346423663
oct2174762001366
9482040020730
10154212500214
115a445a32993
1225a79555046
1311708213a36
14766d01ca6a
15402882c9c9
hex23e7c802f6

154212500214 has 128 divisors (see below), whose sum is σ = 369269400960. Its totient is φ = 47526912000.

The previous prime is 154212500191. The next prime is 154212500237. The reversal of 154212500214 is 412005212451.

It is a happy number.

154212500214 is a `hidden beast` number, since 1 + 5 + 421 + 25 + 0 + 0 + 214 = 666.

154212500214 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 (154212500191) and next prime (154212500237).

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

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 63 ways as a sum of consecutive naturals, for example, 67252452 + ... + 67254744.

It is an arithmetic number, because the mean of its divisors is an integer number (2884917195).

Almost surely, 2154212500214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154212500214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184634700480).

154212500214 is an abundant number, since it is smaller than the sum of its proper divisors (215056900746).

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

154212500214 is a wasteful number, since it uses less digits than its factorization.

154212500214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 154212500214 its reverse (412005212451), we get a palindrome (566217712665).

The spelling of 154212500214 in words is "one hundred fifty-four billion, two hundred twelve million, five hundred thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 61 102 122 153 183 306 366 459 549 918 1037 1098 1201 1647 2074 2293 2402 3111 3294 3603 4586 6222 6879 7206 9333 10809 13758 18666 20417 20637 21618 27999 32427 38981 40834 41274 55998 61251 61911 64854 73261 77962 116943 122502 123822 139873 146522 183753 219783 233886 279746 350829 367506 419619 439566 551259 659349 701658 839238 1052487 1102518 1245437 1258857 1318698 1978047 2104974 2377841 2490874 2517714 2753893 3736311 3776571 3956094 4755682 5507786 7133523 7472622 7553142 8261679 11208933 14267046 16523358 21400569 22417866 24785037 33626799 42801138 46816181 49570074 64201707 67253598 74355111 93632362 128403414 140448543 148710222 167987473 280897086 335974946 421345629 503962419 842691258 1007924838 1264036887 1511887257 2528073774 2855787041 3023774514 4535661771 5711574082 8567361123 9071323542 17134722246 25702083369 51404166738 77106250107 154212500214