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2212339759416 = 233423148439329
BaseRepresentation
bin100000001100011001101…
…110011011100100111000
321211111102202120021010000
4200030121232123210320
5242221332434300131
64412200154553000
7315556561452033
oct40143156334470
97744382507100
102212339759416
11783280133966
122b8924138760
13130813227027
147911375201a
153c834936ce6
hex20319b9b938

2212339759416 has 80 divisors (see below), whose sum is σ = 6466017214800. Its totient is φ = 705383686656.

The previous prime is 2212339759397. The next prime is 2212339759459. The reversal of 2212339759416 is 6149579332122.

It is a happy number.

2212339759416 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 3 + 39 + 7 + 594 + 16 = 666.

It is a super-2 number, since 2×22123397594162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 74204761 + ... + 74234568.

It is an arithmetic number, because the mean of its divisors is an integer number (80825215185).

Almost surely, 22212339759416 is an apocalyptic number.

It is an amenable number.

2212339759416 is an abundant number, since it is smaller than the sum of its proper divisors (4253677455384).

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

2212339759416 is a wasteful number, since it uses less digits than its factorization.

2212339759416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148439370 (or 148439357 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 2212339759416 in words is "two trillion, two hundred twelve billion, three hundred thirty-nine million, seven hundred fifty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1242 1656 1863 2484 3726 4968 7452 14904 148439329 296878658 445317987 593757316 890635974 1187514632 1335953961 1781271948 2671907922 3414104567 3562543896 4007861883 5343815844 6828209134 8015723766 10242313701 10687631688 12023585649 13656418268 16031447532 20484627402 24047171298 27312836536 30726941103 32062895064 40969254804 48094342596 61453882206 81938509608 92180823309 96188685192 122907764412 184361646618 245815528824 276542469927 368723293236 553084939854 737446586472 1106169879708 2212339759416