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999970000224 = 253138325138461
BaseRepresentation
bin11101000110100101101…
…10110100110101100000
310112121002121222021112020
432203102312310311200
5112340414310001344
62043214015301440
7132150121521066
oct16432266646540
93477077867466
10999970000224
113560a2aa5698
12141973b1a880
13733b1cc39b0
1436582478036
151b028cdc719
hexe8d2db4d60

999970000224 has 192 divisors, whose sum is σ = 2872369237248. Its totient is φ = 302757120000.

The previous prime is 999970000201. The next prime is 999970000279. The reversal of 999970000224 is 422000079999.

It is a happy number.

999970000224 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 9999852-1.

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, 25980354 + ... + 26018814.

It is an arithmetic number, because the mean of its divisors is an integer number (14960256444).

Almost surely, 2999970000224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999970000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436184618624).

999970000224 is an abundant number, since it is smaller than the sum of its proper divisors (1872399237024).

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

999970000224 is a wasteful number, since it uses less digits than its factorization.

999970000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38821 (or 38813 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 999970000224 in words is "nine hundred ninety-nine billion, nine hundred seventy million, two hundred twenty-four", and thus it is an aban number.