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22053300 = 22352195373
BaseRepresentation
bin101010000100…
…0000110110100
31112111102102220
41110020012310
521121201200
62104402340
7355310223
oct124100664
945442386
1022053300
11114a2a75
1274763b0
134751bb9
142d00cba
151e094a0
hex15081b4

22053300 has 144 divisors (see below), whose sum is σ = 69370560. Its totient is φ = 5391360.

The previous prime is 22053299. The next prime is 22053313. The reversal of 22053300 is 335022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22053300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302064 + ... + 302136.

It is an arithmetic number, because the mean of its divisors is an integer number (481740).

Almost surely, 222053300 is an apocalyptic number.

22053300 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 22053300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34685280).

22053300 is an abundant number, since it is smaller than the sum of its proper divisors (47317260).

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

22053300 is a wasteful number, since it uses less digits than its factorization.

22053300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 22053300 is about 4696.0941217143. The cubic root of 22053300 is about 280.4300364716.

Adding to 22053300 its reverse (335022), we get a palindrome (22388322).

The spelling of 22053300 in words is "twenty-two million, fifty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 53 57 60 73 75 76 95 100 106 114 146 150 159 190 212 219 228 265 285 292 300 318 365 380 438 475 530 570 636 730 795 876 950 1007 1060 1095 1140 1325 1387 1425 1460 1590 1825 1900 2014 2190 2650 2774 2850 3021 3180 3650 3869 3975 4028 4161 4380 5035 5300 5475 5548 5700 6042 6935 7300 7738 7950 8322 10070 10950 11607 12084 13870 15105 15476 15900 16644 19345 20140 20805 21900 23214 25175 27740 30210 34675 38690 41610 46428 50350 58035 60420 69350 73511 75525 77380 83220 96725 100700 104025 116070 138700 147022 151050 193450 208050 220533 232140 290175 294044 302100 367555 386900 416100 441066 580350 735110 882132 1102665 1160700 1470220 1837775 2205330 3675550 4410660 5513325 7351100 11026650 22053300