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2148814152 = 233229844641
BaseRepresentation
bin1000000000010100…
…0100110101001000
312112202101001212100
42000011010311020
513400044023102
6553120313400
7104151422202
oct20005046510
95482331770
102148814152
11a02a49971
124bb772860
1328324c584
14165555772
15c89aaa1c
hex80144d48

2148814152 has 24 divisors (see below), whose sum is σ = 5819705190. Its totient is φ = 716271360.

The previous prime is 2148814133. The next prime is 2148814159. The reversal of 2148814152 is 2514188412.

2148814152 is a `hidden beast` number, since 21 + 488 + 1 + 4 + 152 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1190664036 + 958150116 = 34506^2 + 30954^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (2148814159) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14922249 + ... + 14922392.

Almost surely, 22148814152 is an apocalyptic number.

It is an amenable number.

2148814152 is an abundant number, since it is smaller than the sum of its proper divisors (3670891038).

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

2148814152 is a wasteful number, since it uses less digits than its factorization.

2148814152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29844653 (or 29844646 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 2148814152 is about 46355.3033859126. The cubic root of 2148814152 is about 1290.4255455618.

The spelling of 2148814152 in words is "two billion, one hundred forty-eight million, eight hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29844641 59689282 89533923 119378564 179067846 238757128 268601769 358135692 537203538 716271384 1074407076 2148814152