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2244048620 = 22511175311321
BaseRepresentation
bin1000010111000001…
…0111011011101100
312210101120110222212
42011300113123230
514043434023440
61010401425552
7106416045542
oct20560273354
95711513885
102244048620
11a51785a40
1252763b2b8
13299bb4c28
14174065d92
15d201d465
hex85c176ec

2244048620 has 96 divisors (see below), whose sum is σ = 5546511936. Its totient is φ = 753459200.

The previous prime is 2244048601. The next prime is 2244048643. The reversal of 2244048620 is 268404422.

2244048620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 192560 + ... + 203880.

It is an arithmetic number, because the mean of its divisors is an integer number (57776166).

Almost surely, 22244048620 is an apocalyptic number.

2244048620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244048620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773255968).

2244048620 is an abundant number, since it is smaller than the sum of its proper divisors (3302463316).

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

2244048620 is a wasteful number, since it uses less digits than its factorization.

2244048620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11411 (or 11409 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 2244048620 is about 47371.3903110306. The cubic root of 2244048620 is about 1309.2143415606.

The spelling of 2244048620 in words is "two billion, two hundred forty-four million, forty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 53 55 68 85 106 110 170 187 212 220 265 340 374 530 583 748 901 935 1060 1166 1802 1870 2332 2915 3604 3740 4505 5830 9010 9911 11321 11660 18020 19822 22642 39644 45284 49555 56605 99110 113210 124531 192457 198220 226420 249062 384914 498124 600013 622655 769828 962285 1200026 1245310 1924570 2117027 2400052 2490620 3000065 3849140 4234054 6000130 6600143 8468108 10200221 10585135 12000260 13200286 20400442 21170270 26400572 33000715 40800884 42340540 51001105 66001430 102002210 112202431 132002860 204004420 224404862 448809724 561012155 1122024310 2244048620