Search a number
-
+
228356997120 = 2143357443
BaseRepresentation
bin1101010010101100100…
…0110100000000000000
3210211102120222101122000
43110223020310000000
512220133342401440
6252523350544000
722332620310000
oct3245310640000
9724376871560
10228356997120
118893363190a
1238310368000
13186c31a2c05
14b0a4240000
155e17c07730
hex352b234000

228356997120 has 1200 divisors, whose sum is σ = 969200675520. Its totient is φ = 50982027264.

The previous prime is 228356997107. The next prime is 228356997131. The reversal of 228356997120 is 21799653822.

228356997120 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 569 + 9 + 71 + 2 + 0 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5310627819 + ... + 5310627861.

Almost surely, 2228356997120 is an apocalyptic number.

228356997120 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 228356997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484600337760).

228356997120 is an abundant number, since it is smaller than the sum of its proper divisors (740843678400).

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

228356997120 is an frugal number, since it uses more digits than its factorization.

228356997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 228356997120 in words is "two hundred twenty-eight billion, three hundred fifty-six million, nine hundred ninety-seven thousand, one hundred twenty".