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22089314304 = 2123522193
BaseRepresentation
bin10100100100101000…
…000011000000000000
32010000102221102200000
4110210220003000000
5330214331024204
614051522400000
71411252034151
oct244450030000
963012842600
1022089314304
119405929862
124345800000
1321104c3aa5
1410d798d928
158943c2039
hex524a03000

22089314304 has 156 divisors (see below), whose sum is σ = 66171943656. Its totient is φ = 7362772992.

The previous prime is 22089314279. The next prime is 22089314321. The reversal of 22089314304 is 40341398022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 984232 + ... + 1006424.

It is an arithmetic number, because the mean of its divisors is an integer number (424179126).

Almost surely, 222089314304 is an apocalyptic number.

22089314304 is a gapful number since it is divisible by the number (24) 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 22089314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33085971828).

22089314304 is an abundant number, since it is smaller than the sum of its proper divisors (44082629352).

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

22089314304 is an frugal number, since it uses more digits than its factorization.

22089314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22232 (or 22198 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 22089314304 in words is "twenty-two billion, eighty-nine million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4096 4608 5184 6144 6912 7776 9216 10368 12288 13824 15552 18432 20736 22193 27648 31104 36864 41472 44386 55296 62208 66579 82944 88772 110592 124416 133158 165888 177544 199737 248832 266316 331776 355088 399474 497664 532632 599211 710176 798948 995328 1065264 1198422 1420352 1597896 1797633 2130528 2396844 2840704 3195792 3595266 4261056 4793688 5392899 5681408 6391584 7190532 8522112 9587376 10785798 11362816 12783168 14381064 17044224 19174752 21571596 22725632 25566336 28762128 34088448 38349504 43143192 45451264 51132672 57524256 68176896 76699008 86286384 90902528 102265344 115048512 136353792 153398016 172572768 204530688 230097024 272707584 306796032 345145536 409061376 460194048 613592064 690291072 818122752 920388096 1227184128 1380582144 1840776192 2454368256 2761164288 3681552384 5522328576 7363104768 11044657152 22089314304