Search a number
-
+
2470214516 = 2271121275741
BaseRepresentation
bin1001001100111100…
…0111101101110100
320101011010220021112
42103033013231310
520024333331031
61045041134152
7115133322410
oct22317075564
96334126245
102470214516
11105840a800
1258b32a358
13304a00cc3
141960d9d40
15e6ce562b
hex933c7b74

2470214516 has 72 divisors (see below), whose sum is σ = 5474101248. Its totient is φ = 954676800.

The previous prime is 2470214497. The next prime is 2470214521. The reversal of 2470214516 is 6154120742.

It is a super-2 number, since 2×24702145162 = 12203919510114228512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427406 + ... + 433146.

It is an arithmetic number, because the mean of its divisors is an integer number (76029184).

Almost surely, 22470214516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2470214516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737050624).

2470214516 is an abundant number, since it is smaller than the sum of its proper divisors (3003886732).

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

2470214516 is a wasteful number, since it uses less digits than its factorization.

2470214516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5901 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2470214516 is about 49701.2526602700. The cubic root of 2470214516 is about 1351.7972434120.

The spelling of 2470214516 in words is "two billion, four hundred seventy million, two hundred fourteen thousand, five hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 127 154 242 254 308 484 508 847 889 1397 1694 1778 2794 3388 3556 5588 5741 9779 11482 15367 19558 22964 30734 39116 40187 61468 63151 80374 107569 126302 160748 215138 252604 430276 442057 694661 729107 884114 1389322 1458214 1768228 2778644 2916428 4862627 5103749 8020177 9725254 10207498 16040354 19450508 20414996 32080708 56141239 88221947 112282478 176443894 224564956 352887788 617553629 1235107258 2470214516