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2242517439690 = 236511171645003
BaseRepresentation
bin100000101000100000011…
…101001001010011001010
321221101022220012021000000
4200220200131021103022
5243220133431032230
64434110455223430
7321005446505133
oct40504035112312
97841286167000
102242517439690
117950566a57a0
12302746677b76
13133612360188
147a77760cc8a
153d4ede5bb60
hex20a207494ca

2242517439690 has 224 divisors, whose sum is σ = 6990582678336. Its totient is φ = 511661422080.

The previous prime is 2242517439677. The next prime is 2242517439703. The reversal of 2242517439690 is 969347152422.

It is a happy number.

2242517439690 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 517 + 4 + 39 + 6 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (2242517439677) and next prime (2242517439703).

It is a super-2 number, since 2×22425174396902 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 540729 + ... + 2185731.

Almost surely, 22242517439690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242517439690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495291339168).

2242517439690 is an abundant number, since it is smaller than the sum of its proper divisors (4748065238646).

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

2242517439690 is a wasteful number, since it uses less digits than its factorization.

2242517439690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645056 (or 1645041 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2242517439690 in words is "two trillion, two hundred forty-two billion, five hundred seventeen million, four hundred thirty-nine thousand, six hundred ninety".