Search a number
-
+
40222514664 = 2332191071092521
BaseRepresentation
bin100101011101011100…
…101101110111101000
310211211011202110020100
4211131130231313220
51124333430432124
630251124025400
72622515506413
oct453534556750
9124734673210
1040222514664
1116070619662
127966532260
133a401c0747
141d37d70b7a
1510a62dc1c9
hex95d72dde8

40222514664 has 192 divisors, whose sum is σ = 116849304000. Its totient is φ = 12462750720.

The previous prime is 40222514621. The next prime is 40222514681. The reversal of 40222514664 is 46641522204.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 15953724 + ... + 15956244.

It is an arithmetic number, because the mean of its divisors is an integer number (608590125).

Almost surely, 240222514664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40222514664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58424652000).

40222514664 is an abundant number, since it is smaller than the sum of its proper divisors (76626789336).

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

40222514664 is a wasteful number, since it uses less digits than its factorization.

40222514664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 40222514664 in words is "forty billion, two hundred twenty-two million, five hundred fourteen thousand, six hundred sixty-four".