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22440813168 = 2433743457643
BaseRepresentation
bin10100111001100100…
…111010001001110000
32010220221100102110110
4110321210322021300
5331424322010133
614150440301320
71423050523164
oct247144721160
963827312413
1022440813168
119576288094
124423471840
132168283297
14112c52aca4
158b51a4c63
hex53993a270

22440813168 has 160 divisors (see below), whose sum is σ = 61151808256. Its totient is φ = 7082256384.

The previous prime is 22440813149. The next prime is 22440813181. The reversal of 22440813168 is 86131804422.

It is a congruent number.

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, 34899855 + ... + 34900497.

Almost surely, 222440813168 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 22440813168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30575904128).

22440813168 is an abundant number, since it is smaller than the sum of its proper divisors (38710995088).

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

22440813168 is a wasteful number, since it uses less digits than its factorization.

22440813168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 22440813168 in words is "twenty-two billion, four hundred forty million, eight hundred thirteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 43 48 74 86 111 129 148 172 222 258 296 344 444 457 516 592 643 688 888 914 1032 1286 1371 1591 1776 1828 1929 2064 2572 2742 3182 3656 3858 4773 5144 5484 6364 7312 7716 9546 10288 10968 12728 15432 16909 19092 19651 21936 23791 25456 27649 30864 33818 38184 39302 47582 50727 55298 58953 67636 71373 76368 78604 82947 95164 101454 110596 117906 135272 142746 157208 165894 190328 202908 221192 235812 270544 285492 293851 314416 331788 380656 405816 442384 471624 570984 587702 663576 727087 811632 881553 943248 1023013 1141968 1175404 1327152 1454174 1763106 2046026 2181261 2350808 2908348 3069039 3526212 4092052 4362522 4701616 5816696 6138078 7052424 8184104 8725044 10872487 11633392 12276156 12635593 14104848 16368208 17450088 21744974 24552312 25271186 32617461 34900176 37906779 43489948 49104624 50542372 65234922 75813558 86979896 101084744 130469844 151627116 173959792 202169488 260939688 303254232 467516941 521879376 606508464 935033882 1402550823 1870067764 2805101646 3740135528 5610203292 7480271056 11220406584 22440813168