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22035621136 = 24172372592
BaseRepresentation
bin10100100001011011…
…001110010100010000
32002212200220112111011
4110201123032110100
5330112104334021
614042323500304
71410030455254
oct244133162420
962780815434
1022035621136
119388596341
12432b827694
132102344699
1410d07b4264
1588e817de1
hex5216ce510

22035621136 has 135 divisors (see below), whose sum is σ = 47415473679. Its totient is φ = 9918434304.

The previous prime is 22035621133. The next prime is 22035621137. The reversal of 22035621136 is 63112653022.

It is a happy number.

The square root of 22035621136 is 148444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10250347536 + 11785273600 = 101244^2 + 108560^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22035621098 and 22035621107.

It is not an unprimeable number, because it can be changed into a prime (22035621133) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 373485075 + ... + 373485133.

Almost surely, 222035621136 is an apocalyptic number.

22035621136 is the 148444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22035621136

22035621136 is an abundant number, since it is smaller than the sum of its proper divisors (25379852543).

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

22035621136 is an equidigital number, since it uses as much as digits as its factorization.

22035621136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 22035621136 in words is "twenty-two billion, thirty-five million, six hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 37 59 68 74 118 136 148 236 272 289 296 472 578 592 629 944 1003 1156 1258 1369 2006 2183 2312 2516 2738 3481 4012 4366 4624 5032 5476 6962 8024 8732 10064 10693 10952 13924 16048 17051 17464 21386 21904 23273 27848 34102 34928 37111 42772 46546 55696 59177 68204 74222 80771 85544 93092 118354 128797 136408 148444 161542 171088 186184 236708 257594 272816 296888 323084 372368 395641 473416 515188 593776 630887 646168 791282 946832 1006009 1030376 1261774 1292336 1373107 1582564 2012018 2060752 2189549 2523548 2746214 3165128 4024036 4379098 4765489 5047096 5492428 6330256 8048072 8758196 9530978 10094192 10984856 16096144 17516392 19061956 21969712 23342819 35032784 37222333 38123912 46685638 74444666 76247824 81013313 93371276 148889332 162026626 186742552 297778664 324053252 373485104 595557328 648106504 1296213008 1377226321 2754452642 5508905284 11017810568 22035621136