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22032014144 = 267176743177
BaseRepresentation
bin10100100001001101…
…011101101101000000
32002212110010021121212
4110201031131231000
5330110143423034
614042114305252
71406655013250
oct244115355500
962773107555
1022032014144
119386552358
12432a588228
13210168097a
1410d0115960
1588e3542ce
hex52135db40

22032014144 has 112 divisors (see below), whose sum is σ = 53695469952. Its totient is φ = 8754020352.

The previous prime is 22032014143. The next prime is 22032014209. The reversal of 22032014144 is 44141023022.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22032014141) 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, 488684 + ... + 531860.

Almost surely, 222032014144 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 22032014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26847734976).

22032014144 is an abundant number, since it is smaller than the sum of its proper divisors (31663455808).

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

22032014144 is a wasteful number, since it uses less digits than its factorization.

22032014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43280 (or 43270 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 22032014144 its reverse (44141023022), we get a palindrome (66173037166).

The spelling of 22032014144 in words is "twenty-two billion, thirty-two million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 67 68 112 119 134 136 224 238 268 272 448 469 476 536 544 938 952 1072 1088 1139 1876 1904 2144 2278 3752 3808 4288 4556 7504 7616 7973 9112 15008 15946 18224 30016 31892 36448 43177 63784 72896 86354 127568 172708 255136 302239 345416 510272 604478 690832 734009 1208956 1381664 1468018 2417912 2763328 2892859 2936036 4835824 5138063 5785718 5872072 9671648 10276126 11571436 11744144 19343296 20250013 20552252 23142872 23488288 40500026 41104504 46285744 46976576 49178603 81000052 82209008 92571488 98357206 162000104 164418016 185142976 196714412 324000208 328836032 344250221 393428824 648000416 688500442 786857648 1296000832 1377000884 1573715296 2754001768 3147430592 5508003536 11016007072 22032014144