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2220136032780 = 2232531821484621
BaseRepresentation
bin100000010011101010011…
…010110110101000001100
321212020120002121222121100
4200103222122312220030
5242333314311022110
64415525540103100
7316254016624011
oct40235232665014
97766502558540
102220136032780
11786610a03496
122ba33b094a90
131314864a9833
1479652d47708
153cb3e0ddbc0
hex204ea6b6a0c

2220136032780 has 144 divisors (see below), whose sum is σ = 6960133410048. Its totient is φ = 572239296000.

The previous prime is 2220136032733. The next prime is 2220136032827. The reversal of 2220136032780 is 872306310222.

2220136032780 is a `hidden beast` number, since 2 + 2 + 20 + 1 + 3 + 603 + 27 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2220136032733) and next prime (2220136032827).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4338870 + ... + 4823490.

It is an arithmetic number, because the mean of its divisors is an integer number (48334259792).

Almost surely, 22220136032780 is an apocalyptic number.

2220136032780 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 2220136032780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480066705024).

2220136032780 is an abundant number, since it is smaller than the sum of its proper divisors (4739997377268).

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

2220136032780 is a wasteful number, since it uses less digits than its factorization.

2220136032780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485488 (or 485483 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2220136032780 in words is "two trillion, two hundred twenty billion, one hundred thirty-six million, thirty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 821 930 1116 1395 1642 1860 2463 2790 3284 4105 4926 5580 7389 8210 9852 12315 14778 16420 24630 25451 29556 36945 49260 50902 73890 76353 101804 127255 147780 152706 229059 254510 305412 381765 458118 484621 509020 763530 916236 969242 1145295 1453863 1527060 1938484 2290590 2423105 2907726 4361589 4581180 4846210 5815452 7269315 8723178 9692420 14538630 15023251 17446356 21807945 29077260 30046502 43615890 45069753 60093004 75116255 87231780 90139506 135209259 150232510 180279012 225348765 270418518 300465020 397873841 450697530 540837036 676046295 795747682 901395060 1193621523 1352092590 1591495364 1989369205 2387243046 2704185180 3580864569 3978738410 4774486092 5968107615 7161729138 7957476820 11936215230 12334089071 14323458276 17904322845 23872430460 24668178142 35808645690 37002267213 49336356284 61670445355 71617291380 74004534426 111006801639 123340890710 148009068852 185011336065 222013603278 246681781420 370022672130 444027206556 555034008195 740045344260 1110068016390 2220136032780