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22200280416 = 253417503819
BaseRepresentation
bin10100101011001111…
…010110010101100000
32010022011202002120000
4110223033112111200
5330431232433131
614110525020000
71414100161416
oct245317262540
963264662500
1022200280416
119462530296
1243769b4600
13212a4a6b02
1411085d72b6
1589dee0ce6
hex52b3d6560

22200280416 has 120 divisors (see below), whose sum is σ = 69131157480. Its totient is φ = 6964780032.

The previous prime is 22200280397. The next prime is 22200280451. The reversal of 22200280416 is 61408200222.

It is a happy number.

22200280416 is a `hidden beast` number, since 2 + 220 + 0 + 28 + 0 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 22200280416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207846 + ... + 295973.

It is an arithmetic number, because the mean of its divisors is an integer number (576092979).

Almost surely, 222200280416 is an apocalyptic number.

It is an amenable number.

22200280416 is an abundant number, since it is smaller than the sum of its proper divisors (46930877064).

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

22200280416 is a wasteful number, since it uses less digits than its factorization.

22200280416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503858 (or 503841 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 22200280416 its reverse (61408200222), we get a palindrome (83608480638).

The spelling of 22200280416 in words is "twenty-two billion, two hundred million, two hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3672 4896 5508 7344 11016 14688 22032 44064 503819 1007638 1511457 2015276 3022914 4030552 4534371 6045828 8061104 8564923 9068742 12091656 13603113 16122208 17129846 18137484 24183312 25694769 27206226 34259692 36274968 40809339 48366624 51389538 54412452 68519384 72549936 77084307 81618678 102779076 108824904 137038768 145099872 154168614 163237356 205558152 217649808 231252921 274077536 308337228 326474712 411116304 435299616 462505842 616674456 652949424 693758763 822232608 925011684 1233348912 1305898848 1387517526 1850023368 2466697824 2775035052 3700046736 5550070104 7400093472 11100140208 22200280416