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22042000332 = 223211218792693
BaseRepresentation
bin10100100001110011…
…100011101111001100
32002220010220122002200
4110201303203233030
5330120223002312
614043112321500
71410135624432
oct244163435714
962803818080
1022042000332
119391153100
1243319a3290
132103769161
1410d1594d52
158901780dc
hex521ce3bcc

22042000332 has 108 divisors (see below), whose sum is σ = 61298306160. Its totient is φ = 6673360320.

The previous prime is 22042000307. The next prime is 22042000361. The reversal of 22042000332 is 23300024022.

It is a super-2 number, since 2×220420003322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8183578 + ... + 8186270.

Almost surely, 222042000332 is an apocalyptic number.

22042000332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22042000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30649153080).

22042000332 is an abundant number, since it is smaller than the sum of its proper divisors (39256305828).

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

22042000332 is a wasteful number, since it uses less digits than its factorization.

22042000332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 22042000332 its reverse (23300024022), we get a palindrome (45342024354).

The spelling of 22042000332 in words is "twenty-two billion, forty-two million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 1879 2178 2693 3758 4356 5386 5637 7516 8079 10772 11274 16158 16911 20669 22548 24237 29623 32316 33822 41338 48474 59246 62007 67644 82676 88869 96948 118492 124014 177738 186021 227359 248028 266607 325853 355476 372042 454718 533214 651706 682077 744084 909436 977559 1066428 1303412 1364154 1955118 2046231 2728308 2932677 3910236 4092462 5060147 5865354 8184924 10120294 11730708 15180441 20240588 30360882 45541323 55661617 60721764 91082646 111323234 166984851 182165292 222646468 333969702 500954553 612277787 667939404 1001909106 1224555574 1836833361 2003818212 2449111148 3673666722 5510500083 7347333444 11021000166 22042000332