Search a number
-
+
22028940662400 = 273852741923
BaseRepresentation
bin1010000001001000000110…
…01011101101011010000000
32212222221112202021100000000
411000210003023231122000
510341410232302144100
6114503542230000000
74432352454060000
oct500440313553200
985887482240000
1022028940662400
11702346a78a931
1225794337a6000
13c3a4215c86c9
145622c65a0000
15283053989900
hex1409032ed680

22028940662400 has 4320 divisors, whose sum is σ = 104591273810400. Its totient is φ = 4562777640960.

The previous prime is 22028940662363. The next prime is 22028940662411. The reversal of 22028940662400 is 426604982022.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 957780028789 + ... + 957780028811.

Almost surely, 222028940662400 is an apocalyptic number.

22028940662400 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 22028940662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52295636905200).

22028940662400 is an abundant number, since it is smaller than the sum of its proper divisors (82562333148000).

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

22028940662400 is an frugal number, since it uses more digits than its factorization.

22028940662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 22028940662400 in words is "twenty-two trillion, twenty-eight billion, nine hundred forty million, six hundred sixty-two thousand, four hundred".