Search a number
-
+
148212972 = 223237111271
BaseRepresentation
bin10001101010110…
…00110011101100
3101022212222222100
420311120303230
5300420303342
622412415100
73446534535
oct1065306354
9338788870
10148212972
1176731666
1241777490
13249246ab
141598168c
15d029e4c
hex8d58cec

148212972 has 36 divisors (see below), whose sum is σ = 384778576. Its totient is φ = 48068640.

The previous prime is 148212929. The next prime is 148213031. The reversal of 148212972 is 279212841.

148212972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54304 + ... + 56967.

Almost surely, 2148212972 is an apocalyptic number.

148212972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148212972 is an abundant number, since it is smaller than the sum of its proper divisors (236565604).

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

148212972 is a wasteful number, since it uses less digits than its factorization.

148212972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111318 (or 111313 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 148212972 is about 12174.2750092151. The cubic root of 148212972 is about 529.2108488237.

The spelling of 148212972 in words is "one hundred forty-eight million, two hundred twelve thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 111271 222542 333813 445084 667626 1001439 1335252 2002878 4005756 4117027 8234054 12351081 16468108 24702162 37053243 49404324 74106486 148212972