Search a number
-
+
22235531052432 = 2435328330884741
BaseRepresentation
bin1010000111001000111001…
…11011100000010110010000
32220201200210101112112001010
411003210130323200112100
510403301331422134212
6115142510103010520
74453315121315055
oct503443473402620
986650711475033
1022235531052432
1170a3043666665
1225b148a439a40
13c53a560c6049
1456c2c3a5502c
152885e57b703c
hex14391cee0590

22235531052432 has 80 divisors (see below), whose sum is σ = 58732402010688. Its totient is φ = 7246301237760.

The previous prime is 22235531052431. The next prime is 22235531052457. The reversal of 22235531052432 is 23425013553222.

It is a happy number.

It is a super-4 number, since 4×222355310524324 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22235531052431) 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, 14722419 + ... + 16162322.

Almost surely, 222235531052432 is an apocalyptic number.

It is an amenable number.

22235531052432 is an abundant number, since it is smaller than the sum of its proper divisors (36496870958256).

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

22235531052432 is a wasteful number, since it uses less digits than its factorization.

22235531052432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30885088 (or 30885082 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

The spelling of 22235531052432 in words is "twenty-two trillion, two hundred thirty-five billion, five hundred thirty-one million, fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 283 318 424 566 636 848 849 1132 1272 1698 2264 2544 3396 4528 6792 13584 14999 29998 44997 59996 89994 119992 179988 239984 359976 719952 30884741 61769482 92654223 123538964 185308446 247077928 370616892 494155856 741233784 1482467568 1636891273 3273782546 4910673819 6547565092 8740381703 9821347638 13095130184 17480763406 19642695276 26190260368 26221145109 34961526812 39285390552 52442290218 69923053624 78570781104 104884580436 139846107248 209769160872 419538321744 463240230259 926480460518 1389720690777 1852960921036 2779441381554 3705921842072 5558882763108 7411843684144 11117765526216 22235531052432