Search a number
-
+
2152161630 = 233529274861
BaseRepresentation
bin1000000001000111…
…0110000101011110
312112222200010202000
42000101312011132
513401423133010
6553320143130
7104222033463
oct20021660536
95488603660
102152161630
11a04925983
12500907aa6
13283b52128
14165b8766a
15c8e1c7c0
hex8047615e

2152161630 has 64 divisors (see below), whose sum is σ = 5937019200. Its totient is φ = 554117760.

The previous prime is 2152161629. The next prime is 2152161677. The reversal of 2152161630 is 361612512.

2152161630 is a `hidden beast` number, since 2 + 1 + 5 + 21 + 6 + 1 + 630 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2152161594 and 2152161603.

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, 129601 + ... + 145260.

It is an arithmetic number, because the mean of its divisors is an integer number (92765925).

Almost surely, 22152161630 is an apocalyptic number.

2152161630 is an abundant number, since it is smaller than the sum of its proper divisors (3784857570).

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

2152161630 is a wasteful number, since it uses less digits than its factorization.

2152161630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274906 (or 274900 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2152161630 is about 46391.3960772900. The cubic root of 2152161630 is about 1291.0952839478.

The spelling of 2152161630 in words is "two billion, one hundred fifty-two million, one hundred sixty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3915 7830 274861 549722 824583 1374305 1649166 2473749 2748610 4122915 4947498 7421247 7970969 8245830 12368745 14842494 15941938 23912907 24737490 37106235 39854845 47825814 71738721 74212470 79709690 119564535 143477442 215216163 239129070 358693605 430432326 717387210 1076080815 2152161630