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22045354512 = 2434797100741
BaseRepresentation
bin10100100010000000…
…010110101000010000
32002220101020001011120
4110202000112220100
5330122102321022
614043312242240
71410206264406
oct244200265020
962811201146
1022045354512
119393034155
124332b40380
132104371a8c
1410d1bc9476
158905dbd5c
hex522016a10

22045354512 has 80 divisors (see below), whose sum is σ = 58762405632. Its totient is φ = 7117885440.

The previous prime is 22045354489. The next prime is 22045354553. The reversal of 22045354512 is 21545354022.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168462 + ... + 269202.

Almost surely, 222045354512 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 22045354512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29381202816).

22045354512 is an abundant number, since it is smaller than the sum of its proper divisors (36717051120).

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

22045354512 is a wasteful number, since it uses less digits than its factorization.

22045354512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100896 (or 100890 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 22045354512 in words is "twenty-two billion, forty-five million, three hundred fifty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 97 141 188 194 282 291 376 388 564 582 752 776 1128 1164 1552 2256 2328 4559 4656 9118 13677 18236 27354 36472 54708 72944 100741 109416 201482 218832 302223 402964 604446 805928 1208892 1611856 2417784 4734827 4835568 9469654 9771877 14204481 18939308 19543754 28408962 29315631 37878616 39087508 56817924 58631262 75757232 78175016 113635848 117262524 156350032 227271696 234525048 459278219 469050096 918556438 1377834657 1837112876 2755669314 3674225752 5511338628 7348451504 11022677256 22045354512