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228667868352 = 263271114273613
BaseRepresentation
bin1101010011110110101…
…0101100010011000000
3210212020020221021210100
43110331222230103000
512221302433241402
6253014254002400
722343413545060
oct3247552542300
9725206837710
10228667868352
1188a83060a90
12383984a6400
1318742708ca1
14b0d36433a0
155e3516271c
hex353daac4c0

228667868352 has 336 divisors, whose sum is σ = 817964888832. Its totient is φ = 59336202240.

The previous prime is 228667868339. The next prime is 228667868417. The reversal of 228667868352 is 253868766822.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 228667868352.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63288498 + ... + 63292110.

It is an arithmetic number, because the mean of its divisors is an integer number (2434419312).

Almost surely, 2228667868352 is an apocalyptic number.

228667868352 is a gapful number since it is divisible by the number (22) 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 228667868352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408982444416).

228667868352 is an abundant number, since it is smaller than the sum of its proper divisors (589297020480).

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

228667868352 is a wasteful number, since it uses less digits than its factorization.

228667868352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076 (or 5063 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 228667868352 in words is "two hundred twenty-eight billion, six hundred sixty-seven million, eight hundred sixty-eight thousand, three hundred fifty-two".