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2042212200 = 23 ⋅ 3 ⋅ 52 ⋅ 72 ⋅ 69463
BaseRepresentation
bin111100110111001…
……1010111101101000
312021022210010110220
41321232122331220
513140301242300
6534351410040
7101415342300
oct17156327550
95238703426
102042212200
11958859286
1248bb23920
13267136ab2
14155326600
15be44eda0
hex79b9af68

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(max 15 digits)

2042212200 has 144 divisors (see below), whose sum is σ = 7364573280. Its totient is φ = 466784640.

The previous prime is 2042212187. The next prime is 2042212213. The reversal of 2042212200 is 22122402.

It is an interprime number because it is at equal distance from previous prime (2042212187) and next prime (2042212213).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2042212200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5332 + ... + 64131.

It is an arithmetic number, because the mean of its divisors is an integer number (51142870).

Almost surely, 22042212200 is an apocalyptic number.

2042212200 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 2042212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682286640).

2042212200 is an abundant number, since it is smaller than the sum of its proper divisors (5322361080).

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

2042212200 is a wasteful number, since it uses less digits than its factorization.

2042212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69496 (or 69480 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2042212200 is about 45190.8419925985. The cubic root of 2042212200 is about 1268.7234160106.

Adding to 2042212200 its reverse (22122402), we get a palindrome (2064334602).

The spelling of 2042212200 in words is "two billion, forty-two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4900 5880 7350 9800 14700 29400 69463 138926 208389 277852 347315 416778 486241 555704 694630 833556 972482 1041945 1389260 1458723 1667112 1736575 1944964 2083890 2431205 2778520 2917446 3403687 3473150 3889928 4167780 4862410 5209725 5834892 6807374 6946300 7293615 8335560 9724820 10211061 10419450 11669784 12156025 13614748 13892600 14587230 17018435 19449640 20422122 20838900 24312050 27229496 29174460 34036870 36468075 40844244 41677800 48624100 51055305 58348920 68073740 72936150 81688488 85092175 97248200 102110610 136147480 145872300 170184350 204221220 255276525 291744600 340368700 408442440 510553050 680737400 1021106100 2042212200