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11222020440 = 23325139224261
BaseRepresentation
bin10100111001110001…
…00111000101011000
31001222002012201000200
422130320213011120
5140440314123230
65053314502200
7545043412521
oct123470470530
931862181020
1011222020440
1148395a1064
122212294960
13109ac218a7
14786585848
1545a2e8160
hex29ce27158

11222020440 has 96 divisors (see below), whose sum is σ = 36734115600. Its totient is φ = 2970996480.

The previous prime is 11222020421. The next prime is 11222020499. The reversal of 11222020440 is 4402022211.

11222020440 is a `hidden beast` number, since 1 + 1 + 2 + 220 + 2 + 0 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 62091 + ... + 162170.

Almost surely, 211222020440 is an apocalyptic number.

11222020440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222020440 is an abundant number, since it is smaller than the sum of its proper divisors (25512095160).

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

11222020440 is a wasteful number, since it uses less digits than its factorization.

11222020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224417 (or 224410 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 11222020440 its reverse (4402022211), we get a palindrome (15624042651).

The spelling of 11222020440 in words is "eleven billion, two hundred twenty-two million, twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 360 417 556 695 834 1112 1251 1390 1668 2085 2502 2780 3336 4170 5004 5560 6255 8340 10008 12510 16680 25020 50040 224261 448522 672783 897044 1121305 1345566 1794088 2018349 2242610 2691132 3363915 4036698 4485220 5382264 6727830 8073396 8970440 10091745 13455660 16146792 20183490 26911320 31172279 40366980 62344558 80733960 93516837 124689116 155861395 187033674 249378232 280550511 311722790 374067348 467584185 561101022 623445580 748134696 935168370 1122202044 1246891160 1402752555 1870336740 2244404088 2805505110 3740673480 5611010220 11222020440