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1072228040 = 235136833019
BaseRepresentation
bin111111111010001…
…110011011001000
32202201120211100122
4333322032123020
54143442244130
6254221322412
735366534162
oct7772163310
92681524318
101072228040
11500276884
1225b106408
131411a8b80
14a258d932
15641ec2e5
hex3fe8e6c8

1072228040 has 64 divisors (see below), whose sum is σ = 2602756800. Its totient is φ = 395188992.

The previous prime is 1072227997. The next prime is 1072228067. The reversal of 1072228040 is 408222701.

It is a super-2 number, since 2×10722280402 = 2299345939524483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 353651 + ... + 356669.

It is an arithmetic number, because the mean of its divisors is an integer number (40668075).

Almost surely, 21072228040 is an apocalyptic number.

1072228040 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 1072228040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301378400).

1072228040 is an abundant number, since it is smaller than the sum of its proper divisors (1530528760).

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

1072228040 is a wasteful number, since it uses less digits than its factorization.

1072228040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 1072228040 is about 32744.8933423213. The cubic root of 1072228040 is about 1023.5185547047.

The spelling of 1072228040 in words is "one billion, seventy-two million, two hundred twenty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 683 1366 2732 3019 3415 5464 6038 6830 8879 12076 13660 15095 17758 24152 27320 30190 35516 39247 44395 60380 71032 78494 88790 120760 156988 177580 196235 313976 355160 392470 784940 1569880 2061977 4123954 8247908 10309885 16495816 20619770 26805701 41239540 53611402 82479080 107222804 134028505 214445608 268057010 536114020 1072228040