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22132030312 = 23721711033011
BaseRepresentation
bin10100100111001010…
…111111101101101000
32010010102022122000101
4110213022333231220
5330311244432222
614100050115144
71412311103500
oct244712775550
963112278011
1022132030312
119427a54a47
124357b7bab4
1321192cb932
1410dd50ca00
1589800d927
hex5272bfb68

22132030312 has 96 divisors (see below), whose sum is σ = 51175566720. Its totient is φ = 8916149760.

The previous prime is 22132030289. The next prime is 22132030339. The reversal of 22132030312 is 21303023122.

It is a self number, because there is not a number n which added to its sum of digits gives 22132030312.

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, 7348887 + ... + 7351897.

It is an arithmetic number, because the mean of its divisors is an integer number (533078820).

Almost surely, 222132030312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25587783360).

22132030312 is an abundant number, since it is smaller than the sum of its proper divisors (29043536408).

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

22132030312 is a wasteful number, since it uses less digits than its factorization.

22132030312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 22132030312 its reverse (21303023122), we get a palindrome (43435053434).

The spelling of 22132030312 in words is "twenty-two billion, one hundred thirty-two million, thirty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1103 1666 2206 3011 3332 4412 6022 6664 7721 8824 12044 15442 18751 21077 24088 30884 37502 42154 51187 54047 61768 75004 84308 102374 108094 131257 147539 150008 168616 204748 216188 262514 295078 358309 409496 432376 525028 590156 716618 918799 1050056 1180312 1433236 1837598 2508163 2866472 3321133 3675196 5016326 6642266 7350392 10032652 13284532 20065304 23247931 26569064 46495862 56459261 92991724 112918522 162735517 185983448 225837044 325471034 395214827 451674088 650942068 790429654 1301884136 1580859308 2766503789 3161718616 5533007578 11066015156 22132030312