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2218722019072 = 28136743123087
BaseRepresentation
bin100000010010010110001…
…000110100011100000000
321212002220112220122110021
4200102112020310130000
5242322420314102242
64415133344543224
7316203666664036
oct40222610643400
97762815818407
102218722019072
11785a55813019
122ba005621b14
131312bc562630
147955b228556
153caa9dcbb67
hex20496234700

2218722019072 has 144 divisors (see below), whose sum is σ = 4852079511552. Its totient is φ = 1006357524480.

The previous prime is 2218722019061. The next prime is 2218722019079. The reversal of 2218722019072 is 2709102278122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218722019079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96091113 + ... + 96114199.

It is an arithmetic number, because the mean of its divisors is an integer number (33694996608).

Almost surely, 22218722019072 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 2218722019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426039755776).

2218722019072 is an abundant number, since it is smaller than the sum of its proper divisors (2633357492480).

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

2218722019072 is a wasteful number, since it uses less digits than its factorization.

2218722019072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23614 (or 23600 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 2218722019072 in words is "two trillion, two hundred eighteen billion, seven hundred twenty-two million, nineteen thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 128 134 208 256 268 416 431 536 832 862 871 1072 1664 1724 1742 2144 3328 3448 3484 4288 5603 6896 6968 8576 11206 13792 13936 17152 22412 23087 27584 27872 28877 44824 46174 55168 55744 57754 89648 92348 110336 111488 115508 179296 184696 222976 231016 300131 358592 369392 375401 462032 600262 717184 738784 750802 924064 1200524 1434368 1477568 1501604 1546829 1848128 2401048 2955136 3003208 3093658 3696256 4802096 5910272 6006416 6187316 7392512 9604192 9950497 12012832 12374632 19208384 19900994 20108777 24025664 24749264 38416768 39801988 40217554 48051328 49498528 76833536 79603976 80435108 96102656 98997056 129356461 159207952 160870216 197994112 258712922 318415904 321740432 395988224 517425844 636831808 643480864 666683299 1034851688 1273663616 1286961728 1333366598 2069703376 2547327232 2573923456 2666733196 4139406752 5147846912 5333466392 8278813504 8666882887 10666932784 16557627008 17333765774 21333865568 33115254016 34667531548 42667731136 69335063096 85335462272 138670126192 170670924544 277340252384 554680504768 1109361009536 2218722019072