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22010133200 = 24521137313411
BaseRepresentation
bin10100011111111001…
…111111101011010000
32002210220221121121112
4110133321333223100
5330034043230300
614040013312452
71406301021356
oct243771775320
962726847545
1022010133200
119375167930
124323195728
1320c9c8c373
1410cb25b7d6
1588c480e35
hex51fe7fad0

22010133200 has 120 divisors (see below), whose sum is σ = 57845526816. Its totient is φ = 7981632000.

The previous prime is 22010133157. The next prime is 22010133253. The reversal of 22010133200 is 233101022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1634495 + ... + 1647905.

Almost surely, 222010133200 is an apocalyptic number.

22010133200 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 22010133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28922763408).

22010133200 is an abundant number, since it is smaller than the sum of its proper divisors (35835393616).

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

22010133200 is a wasteful number, since it uses less digits than its factorization.

22010133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13813 (or 13802 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 22010133200 its reverse (233101022), we get a palindrome (22243234222).

The spelling of 22010133200 in words is "twenty-two billion, ten million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 373 400 440 550 746 880 1100 1492 1865 2200 2984 3730 4103 4400 5968 7460 8206 9325 13411 14920 16412 18650 20515 26822 29840 32824 37300 41030 53644 65648 67055 74600 82060 102575 107288 134110 147521 149200 164120 205150 214576 268220 295042 328240 335275 410300 536440 590084 670550 737605 820600 1072880 1180168 1341100 1475210 1641200 2360336 2682200 2950420 3688025 5002303 5364400 5900840 7376050 10004606 11801680 14752100 20009212 25011515 29504200 40018424 50023030 55025333 59008400 80036848 100046060 110050666 125057575 200092120 220101332 250115150 275126665 400184240 440202664 500230300 550253330 880405328 1000460600 1100506660 1375633325 2000921200 2201013320 2751266650 4402026640 5502533300 11005066600 22010133200