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22053780 = 22325723761
BaseRepresentation
bin101010000100…
…0001110010100
31112111110002200
41110020032110
521121210110
62104404500
7355311510
oct124101624
945443080
1022053780
11114a3371
127476730
134752198
142d01140
151e096c0
hex1508394

22053780 has 144 divisors (see below), whose sum is σ = 79881984. Its totient is φ = 4815360.

The previous prime is 22053767. The next prime is 22053781. The reversal of 22053780 is 8735022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22053781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28600 + ... + 29360.

It is an arithmetic number, because the mean of its divisors is an integer number (554736).

Almost surely, 222053780 is an apocalyptic number.

22053780 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 22053780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39940992).

22053780 is an abundant number, since it is smaller than the sum of its proper divisors (57828204).

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

22053780 is a wasteful number, since it uses less digits than its factorization.

22053780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 22053780 is about 4696.1452277373. The cubic root of 22053780 is about 280.4320710188.

The spelling of 22053780 in words is "twenty-two million, fifty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 761 805 828 966 1035 1260 1380 1449 1522 1610 1932 2070 2283 2415 2898 3044 3220 3805 4140 4566 4830 5327 5796 6849 7245 7610 9132 9660 10654 11415 13698 14490 15220 15981 17503 21308 22830 26635 27396 28980 31962 34245 35006 45660 47943 52509 53270 63924 68490 70012 79905 87515 95886 105018 106540 122521 136980 157527 159810 175030 191772 210036 239715 245042 262545 315054 319620 350060 367563 479430 490084 525090 612605 630108 735126 787635 958860 1050180 1102689 1225210 1470252 1575270 1837815 2205378 2450420 3150540 3675630 4410756 5513445 7351260 11026890 22053780