Search a number
-
+
149224248 = 23334714699
BaseRepresentation
bin10001110010011…
…11101100111000
3101101210101012000
420321033230320
5301200133443
622450221000
73461246055
oct1071175470
9341711160
10149224248
1177262428
1241b84760
1324bb9a94
1415b6602c
15d1798d3
hex8e4fb38

149224248 has 64 divisors (see below), whose sum is σ = 423360000. Its totient is φ = 48679776.

The previous prime is 149224247. The next prime is 149224259. The reversal of 149224248 is 842422941.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149224247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2803 + ... + 17501.

It is an arithmetic number, because the mean of its divisors is an integer number (6615000).

Almost surely, 2149224248 is an apocalyptic number.

149224248 is a gapful number since it is divisible by the number (18) 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 149224248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680000).

149224248 is an abundant number, since it is smaller than the sum of its proper divisors (274135752).

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

149224248 is a wasteful number, since it uses less digits than its factorization.

149224248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14761 (or 14751 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 149224248 is about 12215.7377182060. The cubic root of 149224248 is about 530.4117460186.

The spelling of 149224248 in words is "one hundred forty-nine million, two hundred twenty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2538 3384 5076 10152 14699 29398 44097 58796 88194 117592 132291 176388 264582 352776 396873 529164 690853 793746 1058328 1381706 1587492 2072559 2763412 3174984 4145118 5526824 6217677 8290236 12435354 16580472 18653031 24870708 37306062 49741416 74612124 149224248