Search a number
-
+
22240478455104 = 26371329711135471
BaseRepresentation
bin1010000111010010000111…
…10100010110010101000000
32220202011120011221121122010
411003221003310112111000
510403341444441030404
6115145045035012520
74453551534456420
oct503510364262500
986664504847563
1022240478455104
1170a51523094a8
1225b242b29a140
13c5436409a250
1456c632b44480
152887d4cce189
hex143a43d16540

22240478455104 has 896 divisors, whose sum is σ = 76663108730880. Its totient is φ = 5533168435200.

The previous prime is 22240478455099. The next prime is 22240478455157. The reversal of 22240478455104 is 40155487404222.

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

It is a congruent number.

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, 4065155089 + ... + 4065160559.

It is an arithmetic number, because the mean of its divisors is an integer number (85561505280).

Almost surely, 222240478455104 is an apocalyptic number.

22240478455104 is a gapful number since it is divisible by the number (24) 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 22240478455104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38331554365440).

22240478455104 is an abundant number, since it is smaller than the sum of its proper divisors (54422630275776).

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

22240478455104 is a wasteful number, since it uses less digits than its factorization.

22240478455104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5719 (or 5709 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 48.

The spelling of 22240478455104 in words is "twenty-two trillion, two hundred forty billion, four hundred seventy-eight million, four hundred fifty-five thousand, one hundred four".