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1122384004 = 227223932
BaseRepresentation
bin100001011100110…
…0011100010000100
32220012222000101221
41002321203202010
54244312242004
6303212330124
736546051400
oct10271434204
92805860357
101122384004
11526613795
12273a73944
1314b6ba261
14a90c8100
1568808354
hex42e63884

1122384004 has 27 divisors (see below), whose sum is σ = 2285808357. Its totient is φ = 480820704.

The previous prime is 1122384001. The next prime is 1122384019. The reversal of 1122384004 is 4004832211.

The square root of 1122384004 is 33502.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23328900 + 1099055104 = 4830^2 + 33152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1122384004.

It is not an unprimeable number, because it can be changed into a prime (1122384001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 467832 + ... + 470224.

Almost surely, 21122384004 is an apocalyptic number.

1122384004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1122384004 is the 33502-nd square number.

It is an amenable number.

1122384004 is an abundant number, since it is smaller than the sum of its proper divisors (1163424353).

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

1122384004 is an frugal number, since it uses more digits than its factorization.

1122384004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The cubic root of 1122384004 is about 1039.2351390561.

Multiplying 1122384004 by its sum of digits (25), we get a square (28059600100 = 1675102).

The spelling of 1122384004 in words is "one billion, one hundred twenty-two million, three hundred eighty-four thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 2393 4786 9572 16751 33502 67004 117257 234514 469028 5726449 11452898 22905796 40085143 80170286 160340572 280596001 561192002 1122384004