Search a number
-
+
2223452067840 = 2113252941103197
BaseRepresentation
bin100000010110110000000…
…100100001100000000000
321212120010012100000112200
4200112300010201200000
5242412112212132330
64421234554153200
7316432133512503
oct40266004414000
97776105300480
102223452067840
11787a627aa733
122bab05722800
131318944b4663
14798894d913a
153cc852aca60
hex205b0121800

2223452067840 has 1152 divisors, whose sum is σ = 8287386307200. Its totient is φ = 550282199040.

The previous prime is 2223452067689. The next prime is 2223452067857. The reversal of 2223452067840 is 487602543222.

2223452067840 is a `hidden beast` number, since 2 + 2 + 23 + 4 + 520 + 67 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 11286558622 + ... + 11286558818.

It is an arithmetic number, because the mean of its divisors is an integer number (7193911725).

Almost surely, 22223452067840 is an apocalyptic number.

2223452067840 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 2223452067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143693153600).

2223452067840 is an abundant number, since it is smaller than the sum of its proper divisors (6063934239360).

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

2223452067840 is a wasteful number, since it uses less digits than its factorization.

2223452067840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 2223452067840 in words is "two trillion, two hundred twenty-three billion, four hundred fifty-two million, sixty-seven thousand, eight hundred forty".