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1122034144 = 25721165053
BaseRepresentation
bin100001011100000…
…1110000111100000
32220012022020111011
41002320032013200
54244220043034
6303201030304
736543063400
oct10270160740
92805266434
101122034144
115263a4950
12273925394
1314b5c6c3a
14a9036800
1568789864
hex42e0e1e0

1122034144 has 72 divisors (see below), whose sum is σ = 2803306968. Its totient is φ = 437149440.

The previous prime is 1122034141. The next prime is 1122034171. The reversal of 1122034144 is 4414302211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122034141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15279 + ... + 49774.

It is an arithmetic number, because the mean of its divisors is an integer number (38934819).

Almost surely, 21122034144 is an apocalyptic number.

1122034144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1122034144 is an abundant number, since it is smaller than the sum of its proper divisors (1681272824).

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

1122034144 is a wasteful number, since it uses less digits than its factorization.

1122034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65088 (or 65073 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1122034144 is about 33496.7781137231. The cubic root of 1122034144 is about 1039.1271473203.

Adding to 1122034144 its reverse (4414302211), we get a palindrome (5536336355).

The spelling of 1122034144 in words is "one billion, one hundred twenty-two million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 4312 8624 17248 65053 130106 260212 455371 520424 715583 910742 1040848 1431166 1821484 2081696 2862332 3187597 3642968 5009081 5724664 6375194 7285936 10018162 11449328 12750388 14571872 20036324 22898656 25500776 35063567 40072648 51001552 70127134 80145296 102003104 140254268 160290592 280508536 561017072 1122034144