Search a number
-
+
2210688424 = 2372310871579
BaseRepresentation
bin1000001111000100…
…0110110110101000
312201001210121102001
42003301012312220
514011414012144
61003210420344
7105532353520
oct20361066650
95631717361
102210688424
11a3496aa2a
125184316b4
13293004679
1416d860680
15ce12dbd4
hex83c46da8

2210688424 has 64 divisors (see below), whose sum is σ = 4950835200. Its totient is φ = 904837824.

The previous prime is 2210688409. The next prime is 2210688433. The reversal of 2210688424 is 4248860122.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1399267 + ... + 1400845.

It is an arithmetic number, because the mean of its divisors is an integer number (77356800).

Almost surely, 22210688424 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 2210688424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475417600).

2210688424 is an abundant number, since it is smaller than the sum of its proper divisors (2740146776).

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

2210688424 is a wasteful number, since it uses less digits than its factorization.

2210688424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 2210688424 is about 47017.9585265035. The cubic root of 2210688424 is about 1302.6942984987.

It can be divided in two parts, 22106 and 88424, that multiplied together give a square (1954700944 = 442122).

The spelling of 2210688424 in words is "two billion, two hundred ten million, six hundred eighty-eight thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1087 1288 1579 2174 3158 4348 6316 7609 8696 11053 12632 15218 22106 25001 30436 36317 44212 50002 60872 72634 88424 100004 145268 175007 200008 254219 290536 350014 508438 700028 1016876 1400056 1716373 2033752 3432746 6865492 12014611 13730984 24029222 39476579 48058444 78953158 96116888 157906316 276336053 315812632 552672106 1105344212 2210688424