Search a number
-
+
1922074080 = 253510633767
BaseRepresentation
bin111001010010000…
…1000010111100000
311221221201110221220
41302210020113200
512414022332310
6514420415040
765426234343
oct16244102740
94857643856
101922074080
118a6a62783
12457847480
13248292054
141433b245a
15b3b1d670
hex729085e0

1922074080 has 96 divisors (see below), whose sum is σ = 6061837824. Its totient is φ = 511934976.

The previous prime is 1922074073. The next prime is 1922074117. The reversal of 1922074080 is 804702291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508357 + ... + 512123.

It is an arithmetic number, because the mean of its divisors is an integer number (63144144).

Almost surely, 21922074080 is an apocalyptic number.

1922074080 is a gapful number since it is divisible by the number (10) 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 1922074080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030918912).

1922074080 is an abundant number, since it is smaller than the sum of its proper divisors (4139763744).

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

1922074080 is a wasteful number, since it uses less digits than its factorization.

1922074080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1922074080 is about 43841.4653039791. The cubic root of 1922074080 is about 1243.3403863799.

The spelling of 1922074080 in words is "one billion, nine hundred twenty-two million, seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1063 2126 3189 3767 4252 5315 6378 7534 8504 10630 11301 12756 15068 15945 17008 18835 21260 22602 25512 30136 31890 34016 37670 42520 45204 51024 56505 60272 63780 75340 85040 90408 102048 113010 120544 127560 150680 170080 180816 226020 255120 301360 361632 452040 510240 602720 904080 1808160 4004321 8008642 12012963 16017284 20021605 24025926 32034568 40043210 48051852 60064815 64069136 80086420 96103704 120129630 128138272 160172840 192207408 240259260 320345680 384414816 480518520 640691360 961037040 1922074080