Search a number
-
+
2201001323232 = 253389349116883
BaseRepresentation
bin100000000001110101111…
…001101110101011100000
321210102011120022000201010
4200001311321232223200
5242030122314320412
64403043120540520
7315005602363545
oct40016571565340
97712146260633
102201001323232
11779491959a48
122b669aa81740
1312c727164aaa
1478759944bcc
153c3be2e533c
hex20075e6eae0

2201001323232 has 96 divisors (see below), whose sum is σ = 5794483443840. Its totient is φ = 731528122880.

The previous prime is 2201001323231. The next prime is 2201001323249. The reversal of 2201001323232 is 2323231001022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2201001323199 and 2201001323208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201001323231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130359463 + ... + 130376345.

It is an arithmetic number, because the mean of its divisors is an integer number (60359202540).

Almost surely, 22201001323232 is an apocalyptic number.

It is an amenable number.

2201001323232 is an abundant number, since it is smaller than the sum of its proper divisors (3593482120608).

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

2201001323232 is a wasteful number, since it uses less digits than its factorization.

2201001323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20776 (or 20768 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2201001323232 its reverse (2323231001022), we get a palindrome (4524232324254).

The spelling of 2201001323232 in words is "two trillion, two hundred one billion, one million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 389 778 1167 1556 2334 3112 3491 4668 6224 6982 9336 10473 12448 13964 16883 18672 20946 27928 33766 37344 41892 50649 55856 67532 83784 101298 111712 135064 167568 202596 270128 335136 405192 540256 810384 1357999 1620768 2715998 4073997 5431996 6567487 8147994 10863992 13134974 16295988 19702461 21727984 26269948 32591976 39404922 43455968 52539896 58938553 65183952 78809844 105079792 117877106 130367904 157619688 176815659 210159584 235754212 315239376 353631318 471508424 630478752 707262636 943016848 1414525272 1886033696 2829050544 5658101088 22927097117 45854194234 68781291351 91708388468 137562582702 183416776936 275125165404 366833553872 550250330808 733667107744 1100500661616 2201001323232