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22202502048 = 2532236774951
BaseRepresentation
bin10100101011010111…
…110100101110100000
32010022022220222001200
4110223113310232200
5330432320031143
614111044401200
71414125103446
oct245327645640
963268828050
1022202502048
119463808451
1243776a6200
13212aaa409c
141108a14b96
1589e2ce1d3
hex52b5f4ba0

22202502048 has 144 divisors (see below), whose sum is σ = 65994155136. Its totient is φ = 7067174400.

The previous prime is 22202502031. The next prime is 22202502059. The reversal of 22202502048 is 84020520222.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4481973 + ... + 4486923.

It is an arithmetic number, because the mean of its divisors is an integer number (458292744).

Almost surely, 222202502048 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 22202502048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32997077568).

22202502048 is an abundant number, since it is smaller than the sum of its proper divisors (43791653088).

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

22202502048 is a wasteful number, since it uses less digits than its factorization.

22202502048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667 (or 5656 counting only the distinct ones).

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

The spelling of 22202502048 in words is "twenty-two billion, two hundred two million, five hundred two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 677 736 828 1104 1354 1656 2031 2208 2708 3312 4062 4951 5416 6093 6624 8124 9902 10832 12186 14853 15571 16248 19804 21664 24372 29706 31142 32496 39608 44559 46713 48744 59412 62284 64992 79216 89118 93426 97488 113873 118824 124568 140139 158432 178236 186852 194976 227746 237648 249136 280278 341619 356472 373704 455492 475296 498272 560556 683238 712944 747408 910984 1024857 1121112 1366476 1425888 1494816 1821968 2049714 2242224 2732952 3351827 3643936 4099428 4484448 5465904 6703654 8198856 10055481 10931808 13407308 16397712 20110962 26814616 30166443 32795424 40221924 53629232 60332886 77092021 80443848 107258464 120665772 154184042 160887696 231276063 241331544 308368084 321775392 462552126 482663088 616736168 693828189 925104252 965326176 1233472336 1387656378 1850208504 2466944672 2775312756 3700417008 5550625512 7400834016 11101251024 22202502048