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2244723948 = 2233472972
BaseRepresentation
bin1000010111001011…
…1100010011101100
312210102211210101000
42011302330103230
514044122131243
61010424120300
7106424560455
oct20562742354
95712753330
102244723948
11a520a7365
12527906090
1329a09042c
141741a012c
15d21035d3
hex85cbc4ec

2244723948 has 108 divisors (see below), whose sum is σ = 6008043720. Its totient is φ = 724771584.

The previous prime is 2244723947. The next prime is 2244723953. The reversal of 2244723948 is 8493274422.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2244723948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is not an unprimeable number, because it can be changed into a prime (2244723941) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23141436 + ... + 23141532.

Almost surely, 22244723948 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 2244723948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004021860).

2244723948 is an abundant number, since it is smaller than the sum of its proper divisors (3763319772).

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

2244723948 is an equidigital number, since it uses as much as digits as its factorization.

2244723948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 149 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2244723948 is about 47378.5177902391. The cubic root of 2244723948 is about 1309.3456608225.

The spelling of 2244723948 in words is "two billion, two hundred forty-four million, seven hundred twenty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 97 108 141 188 194 282 291 388 423 564 582 846 873 1164 1269 1692 1746 2209 2538 2619 3492 4418 4559 5076 5238 6627 8836 9118 9409 10476 13254 13677 18236 18818 19881 26508 27354 28227 37636 39762 41031 54708 56454 59643 79524 82062 84681 112908 119286 123093 164124 169362 214273 238572 246186 254043 338724 428546 442223 492372 508086 642819 857092 884446 1016172 1285638 1326669 1768892 1928457 2571276 2653338 3856914 3980007 5306676 5785371 7713828 7960014 11570742 11940021 15920028 20784481 23141484 23880042 41568962 47760084 62353443 83137924 124706886 187060329 249413772 374120658 561180987 748241316 1122361974 2244723948