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22034350404 = 22331125772169
BaseRepresentation
bin10100100001010110…
…011000000101000100
32002212121111222101000
4110201112120011010
5330111243203104
614042240333300
71410013613433
oct244126300504
962777458330
1022034350404
1193878a8650
12432b314230
132101cbb181
1410d056311a
1588e666639
hex521598144

22034350404 has 96 divisors (see below), whose sum is σ = 62562729600. Its totient is φ = 6651002880.

The previous prime is 22034350361. The next prime is 22034350439. The reversal of 22034350404 is 40405343022.

22034350404 is a `hidden beast` number, since 2 + 203 + 4 + 3 + 50 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269232 + ... + 341400.

It is an arithmetic number, because the mean of its divisors is an integer number (651695100).

Almost surely, 222034350404 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 22034350404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31281364800).

22034350404 is an abundant number, since it is smaller than the sum of its proper divisors (40528379196).

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

22034350404 is a wasteful number, since it uses less digits than its factorization.

22034350404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72450 (or 72442 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 22034350404 its reverse (40405343022), we get a palindrome (62439693426).

The spelling of 22034350404 in words is "twenty-two billion, thirty-four million, three hundred fifty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 257 297 396 514 594 771 1028 1188 1542 2313 2827 3084 4626 5654 6939 8481 9252 11308 13878 16962 25443 27756 33924 50886 72169 76329 101772 144338 152658 216507 288676 305316 433014 649521 793859 866028 1299042 1587718 1948563 2381577 2598084 3175436 3897126 4763154 7144731 7794252 9526308 14289462 18547433 21434193 28578924 37094866 42868386 55642299 74189732 85736772 111284598 166926897 204021763 222569196 333853794 408043526 500780691 612065289 667707588 816087052 1001561382 1224130578 1836195867 2003122764 2448261156 3672391734 5508587601 7344783468 11017175202 22034350404