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2214854193240 = 23325138331318217
BaseRepresentation
bin100000001110101111100…
…110001111000001011000
321211201220222220201212200
4200032233212033001120
5242242010133140430
64413253500010200
7316006103004633
oct40165746170130
97751828821780
102214854193240
117843504a6247
122b9306230960
13130b2413b1b0
14792b167cc1a
153c930564460
hex203af98f058

2214854193240 has 384 divisors, whose sum is σ = 7870884315840. Its totient is φ = 536875941888.

The previous prime is 2214854193239. The next prime is 2214854193263. The reversal of 2214854193240 is 423914584122.

2214854193240 is a `hidden beast` number, since 2 + 2 + 1 + 485 + 41 + 93 + 2 + 40 = 666.

It is a super-2 number, since 2×22148541932402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 121572612 + ... + 121590828.

Almost surely, 22214854193240 is an apocalyptic number.

2214854193240 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 2214854193240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935442157920).

2214854193240 is an abundant number, since it is smaller than the sum of its proper divisors (5656030122600).

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

2214854193240 is a wasteful number, since it uses less digits than its factorization.

2214854193240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18643 (or 18636 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2214854193240 in words is "two trillion, two hundred fourteen billion, eight hundred fifty-four million, one hundred ninety-three thousand, two hundred forty".