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2222919974916 = 2232191213012
BaseRepresentation
bin100000010110010000010…
…110110000000000000100
321212111202010002220021100
4200112100112300000010
5242410020003144131
64421110105420100
7316413013012254
oct40262026600004
97774663086240
102222919974916
1178780a413413
122ba99749a630
1313180b1a3a84
147983898b964
153cc537057e6
hex205905b0004

2222919974916 has 81 divisors (see below), whose sum is σ = 5652965929429. Its totient is φ = 736527324000.

The previous prime is 2222919974897. The next prime is 2222919974923. The reversal of 2222919974916 is 6194799192222.

The square root of 2222919974916 is 1490946.

It is a perfect power (a square), and thus also a powerful number.

2222919974916 is a `hidden beast` number, since 2 + 22 + 29 + 19 + 97 + 491 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3415934916 + 2219504040000 = 58446^2 + 1489800^2 .

It is a super-3 number, since 3×22229199749163 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1708623466 + ... + 1708624766.

Almost surely, 22222919974916 is an apocalyptic number.

2222919974916 is the 1490946-th square number.

It is an amenable number.

2222919974916 is an abundant number, since it is smaller than the sum of its proper divisors (3430045954513).

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

2222919974916 is an equidigital number, since it uses as much as digits as its factorization.

2222919974916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 1497 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The spelling of 2222919974916 in words is "two trillion, two hundred twenty-two billion, nine hundred nineteen million, nine hundred seventy-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 191 382 573 764 1146 1301 1719 2292 2602 3438 3903 5204 6876 7806 11709 15612 23418 36481 46836 72962 109443 145924 218886 248491 328329 437772 496982 656658 745473 993964 1313316 1490946 1692601 2236419 2981892 3385202 4472838 5077803 6770404 8945676 10155606 15233409 20311212 30466818 47461781 60933636 94923562 142385343 189847124 284770686 323286791 427156029 569541372 646573582 854312058 969860373 1293147164 1708624116 1939720746 2909581119 3879441492 5819162238 11638324476 61747777081 123495554162 185243331243 246991108324 370486662486 555729993729 740973324972 1111459987458 2222919974916