Search a number
-
+
227948009520 = 2435711532111103
BaseRepresentation
bin1101010001001011000…
…0101001100000110000
3210210101002101200010010
43110102300221200300
512213314142301040
6252415020534520
722316523053220
oct3242260514060
9723332350103
10227948009520
1188743788430
12382173b1440
131865953580a
14b065bba080
155de1d6ae80
hex3512c29830

227948009520 has 640 divisors, whose sum is σ = 902698795008. Its totient is φ = 46209945600.

The previous prime is 227948009501. The next prime is 227948009551. The reversal of 227948009520 is 25900849722.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 227948009520.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 206661289 + ... + 206662391.

Almost surely, 2227948009520 is an apocalyptic number.

227948009520 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 227948009520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451349397504).

227948009520 is an abundant number, since it is smaller than the sum of its proper divisors (674750785488).

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

227948009520 is a wasteful number, since it uses less digits than its factorization.

227948009520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 227948009520 in words is "two hundred twenty-seven billion, nine hundred forty-eight million, nine thousand, five hundred twenty".