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214555162520020 = 225719115749509477
BaseRepresentation
bin110000110010001100000100…
…001111110010100111010100
31001010200021101011210002022111
4300302030010033302213110
5211110232433101120040
62040153140404040404
763123045640361260
oct6062140417624724
91033607334702274
10214555162520020
116240037388a153
1220092289993104
13929460782298a
143ada74d4d10a0
1519c11137c0dea
hexc323043f29d4

214555162520020 has 96 divisors (see below), whose sum is σ = 517662254592000. Its totient is φ = 73171839797760.

The previous prime is 214555162519991. The next prime is 214555162520161. The reversal of 214555162520020 is 20025261555412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420873522 + ... + 421382998.

It is an arithmetic number, because the mean of its divisors is an integer number (5392315152000).

Almost surely, 2214555162520020 is an apocalyptic number.

214555162520020 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 214555162520020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258831127296000).

214555162520020 is an abundant number, since it is smaller than the sum of its proper divisors (303107092071980).

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

214555162520020 is a wasteful number, since it uses less digits than its factorization.

214555162520020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525433 (or 525431 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 214555162520020 in words is "two hundred fourteen trillion, five hundred fifty-five billion, one hundred sixty-two million, five hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 191 382 764 955 1337 1910 2674 3820 5348 6685 13370 15749 26740 31498 62996 78745 110243 157490 220486 314980 440972 509477 551215 1018954 1102430 2037908 2204860 2547385 3008059 3566339 5094770 6016118 7132678 10189540 12032236 14265356 15040295 17831695 21056413 30080590 35663390 42112826 60161180 71326780 84225652 97310107 105282065 194620214 210564130 389240428 421128260 486550535 681170749 973101070 1362341498 1946202140 2724682996 3405853745 6811707490 8023753273 13623414980 16047506546 32095013092 40118766365 56166272911 80237532730 112332545822 160475065460 224665091644 280831364555 561662729110 1123325458220 1532536875143 3065073750286 6130147500572 7662684375715 10727758126001 15325368751430 21455516252002 30650737502860 42911032504004 53638790630005 107277581260010 214555162520020