Search a number
-
+
137222484 = 223719127677
BaseRepresentation
bin10000010110111…
…01100101010100
3100120012121212020
420023131211110
5240112104414
621341053140
73254241360
oct1013354524
9316177766
10137222484
1170505313
1239b571b0
1322577049
14143202a0
15c0a87a9
hex82dd954

137222484 has 96 divisors (see below), whose sum is σ = 388792320. Its totient is φ = 36796032.

The previous prime is 137222479. The next prime is 137222509. The reversal of 137222484 is 484222731.

It is a happy number.

137222484 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 202354 + ... + 203030.

It is an arithmetic number, because the mean of its divisors is an integer number (4049920).

Almost surely, 2137222484 is an apocalyptic number.

137222484 is a gapful number since it is divisible by the number (14) 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 137222484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194396160).

137222484 is an abundant number, since it is smaller than the sum of its proper divisors (251569836).

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

137222484 is a wasteful number, since it uses less digits than its factorization.

137222484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 835 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 137222484 is about 11714.2001007324. The cubic root of 137222484 is about 515.7925823402.

The spelling of 137222484 in words is "one hundred thirty-seven million, two hundred twenty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 127 133 228 254 266 381 399 508 532 677 762 798 889 1354 1524 1596 1778 2031 2413 2667 2708 3556 4062 4739 4826 5334 7239 8124 9478 9652 10668 12863 14217 14478 16891 18956 25726 28434 28956 33782 38589 50673 51452 56868 67564 77178 85979 90041 101346 154356 171958 180082 202692 257937 270123 343916 360164 515874 540246 601853 1031748 1080492 1203706 1633601 1805559 2407412 3267202 3611118 4900803 6534404 7222236 9801606 11435207 19603212 22870414 34305621 45740828 68611242 137222484