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2226715942000 = 245311163620947
BaseRepresentation
bin100000011001110010100…
…111001101110001110000
321212212112122220000011211
4200121302213031301300
5242440303240121000
64422534510245504
7316606045133554
oct40316247156160
97785478800154
102226715942000
1178938810a6a0
122bb6767b6894
13131c94758644
1479ab8b8d864
153cdc6ac67ba
hex206729cdc70

2226715942000 has 160 divisors (see below), whose sum is σ = 5909716111104. Its totient is φ = 804746016000.

The previous prime is 2226715941979. The next prime is 2226715942021. The reversal of 2226715942000 is 2495176222.

It is an interprime number because it is at equal distance from previous prime (2226715941979) and next prime (2226715942021).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3275527 + ... + 3896473.

Almost surely, 22226715942000 is an apocalyptic number.

2226715942000 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 2226715942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954858055552).

2226715942000 is an abundant number, since it is smaller than the sum of its proper divisors (3683000169104).

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

2226715942000 is a wasteful number, since it uses less digits than its factorization.

2226715942000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621144 (or 621128 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 2226715942000 in words is "two trillion, two hundred twenty-six billion, seven hundred fifteen million, nine hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 163 176 200 220 250 275 326 400 440 500 550 652 815 880 1000 1100 1304 1375 1630 1793 2000 2200 2608 2750 3260 3586 4075 4400 5500 6520 7172 8150 8965 11000 13040 14344 16300 17930 20375 22000 28688 32600 35860 40750 44825 65200 71720 81500 89650 143440 163000 179300 224125 326000 358600 448250 620947 717200 896500 1241894 1793000 2483788 3104735 3586000 4967576 6209470 6830417 9935152 12418940 13660834 15523675 24837880 27321668 31047350 34152085 49675760 54643336 62094700 68304170 77618375 101214361 109286672 124189400 136608340 155236750 170760425 202428722 248378800 273216680 310473500 341520850 404857444 506071805 546433360 620947000 683041700 809714888 853802125 1012143610 1113357971 1241894000 1366083400 1619429776 1707604250 2024287220 2226715942 2530359025 2732166800 3415208500 4048574440 4453431884 5060718050 5566789855 6830417000 8097148880 8906863768 10121436100 11133579710 12651795125 13660834000 17813727536 20242872200 22267159420 25303590250 27833949275 40485744400 44534318840 50607180500 55667898550 89068637680 101214361000 111335797100 139169746375 202428722000 222671594200 278339492750 445343188400 556678985500 1113357971000 2226715942000