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22220284284 = 22331131219463
BaseRepresentation
bin10100101100011011…
…101010000101111100
32010100120101101201000
4110230123222011330
5331001343044114
614112521450300
71414432204632
oct245433520574
963316341630
1022220284284
119472853510
124381640990
13213168bc13
14110b123352
158a0b42e09
hex52c6ea17c

22220284284 has 144 divisors (see below), whose sum is σ = 64941246720. Its totient is φ = 6515877600.

The previous prime is 22220284283. The next prime is 22220284309. The reversal of 22220284284 is 48248202222.

22220284284 is a `hidden beast` number, since 2 + 2 + 220 + 2 + 8 + 428 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220284283) 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, 1131937 + ... + 1151399.

It is an arithmetic number, because the mean of its divisors is an integer number (450980880).

Almost surely, 222220284284 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 22220284284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32470623360).

22220284284 is an abundant number, since it is smaller than the sum of its proper divisors (42720962436).

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

22220284284 is a wasteful number, since it uses less digits than its factorization.

22220284284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19549 (or 19510 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 22220284284 in words is "twenty-two billion, two hundred twenty million, two hundred eighty-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 961 1023 1116 1188 1364 1674 1922 2046 2883 3069 3348 3844 4092 5766 6138 8649 9207 10571 11532 12276 17298 18414 19463 21142 25947 31713 34596 36828 38926 42284 51894 58389 63426 77852 95139 103788 116778 126852 175167 190278 214093 233556 285417 350334 380556 428186 525501 570834 603353 642279 700668 856372 1051002 1141668 1206706 1284558 1810059 1926837 2102004 2413412 2569116 3620118 3853674 5430177 5780511 6636883 7240236 7707348 10860354 11561022 13273766 16290531 18703943 19910649 21720708 23122044 26547532 32581062 37407886 39821298 56111829 59731947 65162124 74815772 79642596 112223658 119463894 168335487 179195841 205743373 224447316 238927788 336670974 358391682 411486746 505006461 617230119 673341948 716783364 822973492 1010012922 1234460238 1851690357 2020025844 2468920476 3703380714 5555071071 7406761428 11110142142 22220284284