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2244150144 = 27331738197
BaseRepresentation
bin1000010111000011…
…0000001110000000
312210101202122021000
42011300300032000
514044000301034
61010403532000
7106416650535
oct20560601600
95711678230
102244150144
11a51845245
1252768a000
13299c1c1c2
14174090d8c
15d203d599
hex85c30380

2244150144 has 128 divisors (see below), whose sum is σ = 7013152800. Its totient is φ = 704028672.

The previous prime is 2244150143. The next prime is 2244150149. The reversal of 2244150144 is 4410514422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×22441501443 (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244150143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39654 + ... + 77850.

Almost surely, 22244150144 is an apocalyptic number.

2244150144 is a gapful number since it is divisible by the number (24) 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 2244150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506576400).

2244150144 is an abundant number, since it is smaller than the sum of its proper divisors (4769002656).

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

2244150144 is a wasteful number, since it uses less digits than its factorization.

2244150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38237 (or 38219 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2244150144 is about 47372.4618739622. The cubic root of 2244150144 is about 1309.2340848453.

Adding to 2244150144 its reverse (4410514422), we get a palindrome (6654664566).

The spelling of 2244150144 in words is "two billion, two hundred forty-four million, one hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 6528 7344 9792 14688 19584 29376 38197 58752 76394 114591 152788 229182 305576 343773 458364 611152 649349 687546 916728 1031319 1222304 1298698 1375092 1833456 1948047 2062638 2444608 2597396 2750184 3666912 3896094 4125276 4889216 5194792 5500368 5844141 7333824 7792188 8250552 10389584 11000736 11688282 14667648 15584376 16501104 17532423 20779168 22001472 23376564 31168752 33002208 35064846 41558336 44002944 46753128 62337504 66004416 70129692 83116672 93506256 124675008 132008832 140259384 187012512 249350016 280518768 374025024 561037536 748050048 1122075072 2244150144