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22012900 = 22527134159
BaseRepresentation
bin101001111111…
…0001111100100
31112102101000121
41103332033210
521113403100
62103451324
7355051360
oct123761744
945371017
1022012900
1111475688
127456b44
1347396b0
142cd02a0
151dec51a
hex14fe3e4

22012900 has 144 divisors (see below), whose sum is σ = 61246080. Its totient is φ = 6681600.

The previous prime is 22012897. The next prime is 22012901. The reversal of 22012900 is 921022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22012901) 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, 373071 + ... + 373129.

It is an arithmetic number, because the mean of its divisors is an integer number (425320).

Almost surely, 222012900 is an apocalyptic number.

22012900 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 22012900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30623040).

22012900 is an abundant number, since it is smaller than the sum of its proper divisors (39233180).

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

22012900 is a wasteful number, since it uses less digits than its factorization.

22012900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 22012900 is about 4691.7907029193. The cubic root of 22012900 is about 280.2586894969.

Adding to 22012900 its reverse (921022), we get a palindrome (22933922).

The spelling of 22012900 in words is "twenty-two million, twelve thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 41 50 52 59 65 70 82 91 100 118 130 140 164 175 182 205 236 260 287 295 325 350 364 410 413 455 533 574 590 650 700 767 820 826 910 1025 1066 1148 1180 1300 1435 1475 1534 1652 1820 2050 2065 2132 2275 2419 2665 2870 2950 3068 3731 3835 4100 4130 4550 4838 5330 5369 5740 5900 7175 7462 7670 8260 9100 9676 10325 10660 10738 12095 13325 14350 14924 15340 16933 18655 19175 20650 21476 24190 26650 26845 28700 31447 33866 37310 38350 41300 48380 53300 53690 60475 62894 67732 74620 76700 84665 93275 107380 120950 125788 134225 157235 169330 186550 220129 241900 268450 314470 338660 373100 423325 440258 536900 628940 786175 846650 880516 1100645 1572350 1693300 2201290 3144700 4402580 5503225 11006450 22012900