Search a number
-
+
2144870010 = 233550915607
BaseRepresentation
bin111111111011000…
…0001111001111010
312112110221200112000
41333312001321322
513343041320020
6552500001430
7104103044223
oct17766017172
95473850460
102144870010
11a007a5648
124ba390276
1328249b26a
14164c0a24a
15c847c090
hex7fd81e7a

2144870010 has 64 divisors (see below), whose sum is σ = 5731257600. Its totient is φ = 570805056.

The previous prime is 2144869949. The next prime is 2144870033. The reversal of 2144870010 is 100784412.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129627 + ... + 145233.

It is an arithmetic number, because the mean of its divisors is an integer number (89550900).

Almost surely, 22144870010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144870010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865628800).

2144870010 is an abundant number, since it is smaller than the sum of its proper divisors (3586387590).

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

2144870010 is a wasteful number, since it uses less digits than its factorization.

2144870010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16132 (or 16126 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2144870010 is about 46312.7413354036. The cubic root of 2144870010 is about 1289.6355379257.

The spelling of 2144870010 in words is "two billion, one hundred forty-four million, eight hundred seventy thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 509 1018 1527 2545 3054 4581 5090 7635 9162 13743 15270 15607 22905 27486 31214 45810 46821 68715 78035 93642 137430 140463 156070 234105 280926 421389 468210 702315 842778 1404630 2106945 4213890 7943963 15887926 23831889 39719815 47663778 71495667 79439630 119159445 142991334 214487001 238318890 357478335 428974002 714956670 1072435005 2144870010