Search a number
-
+
223409249280 = 2103457411877
BaseRepresentation
bin1101000000010000111…
…0101001110000000000
3210100122202220202120000
43100010032221300000
512130020231434110
6250344403320000
722066201200120
oct3200416516000
9710582822500
10223409249280
1186824773708
123736b380000
13180b510a879
14ab550a0c80
155c286731c0
hex34043a9c00

223409249280 has 880 divisors, whose sum is σ = 937754870976. Its totient is φ = 49792942080.

The previous prime is 223409249267. The next prime is 223409249309. The reversal of 223409249280 is 82942904322.

223409249280 is a `hidden beast` number, since 2 + 2 + 340 + 9 + 24 + 9 + 280 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 119023702 + ... + 119025578.

Almost surely, 2223409249280 is an apocalyptic number.

223409249280 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 223409249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468877435488).

223409249280 is an abundant number, since it is smaller than the sum of its proper divisors (714345621696).

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

223409249280 is a wasteful number, since it uses less digits than its factorization.

223409249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 223409249280 in words is "two hundred twenty-three billion, four hundred nine million, two hundred forty-nine thousand, two hundred eighty".