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22064820 = 22352359271
BaseRepresentation
bin101010000101…
…0111010110100
31112112000020120
41110022322310
521122033240
62104531540
7355355631
oct124127264
945460216
1022064820
1111500698
127480bb0
13475720b
142d05188
151e0cad0
hex150aeb4

22064820 has 96 divisors (see below), whose sum is σ = 65802240. Its totient is φ = 5512320.

The previous prime is 22064813. The next prime is 22064849. The reversal of 22064820 is 2846022.

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, 81285 + ... + 81555.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 222064820 is an apocalyptic number.

22064820 is a gapful number since it is divisible by the number (20) 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 22064820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901120).

22064820 is an abundant number, since it is smaller than the sum of its proper divisors (43737420).

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

22064820 is a wasteful number, since it uses less digits than its factorization.

22064820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 22064820 is about 4697.3205128030. The cubic root of 22064820 is about 280.4788574594.

The spelling of 22064820 in words is "twenty-two million, sixty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 59 60 69 92 115 118 138 177 230 236 271 276 295 345 354 460 542 590 690 708 813 885 1084 1180 1355 1357 1380 1626 1770 2710 2714 3252 3540 4065 4071 5420 5428 6233 6785 8130 8142 12466 13570 15989 16260 16284 18699 20355 24932 27140 31165 31978 37398 40710 47967 62330 63956 74796 79945 81420 93495 95934 124660 159890 186990 191868 239835 319780 367747 373980 479670 735494 959340 1103241 1470988 1838735 2206482 3677470 4412964 5516205 7354940 11032410 22064820