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1072220544 = 27335572
BaseRepresentation
bin111111111010001…
…100100110000000
32202201120110002000
4333322030212000
54143442024134
6254221224000
735366503263
oct7772144600
92681513060
101072220544
1150027118a
1225b102000
131411a5635
14a258acda
15641e9e99
hex3fe8c980

1072220544 has 96 divisors (see below), whose sum is σ = 3170231400. Its totient is φ = 356765184.

The previous prime is 1072220537. The next prime is 1072220573. The reversal of 1072220544 is 4450222701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1072220544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×10722205442 = 2299313789951311872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1924714 + ... + 1925270.

Almost surely, 21072220544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072220544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585115700).

1072220544 is an abundant number, since it is smaller than the sum of its proper divisors (2098010856).

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

1072220544 is an frugal number, since it uses more digits than its factorization.

With its successor (1072220545) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1137).

1072220544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 1072220544 is about 32744.7788815255. The cubic root of 1072220544 is about 1023.5161695426.

The spelling of 1072220544 in words is "one billion, seventy-two million, two hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 557 576 864 1114 1152 1671 1728 2228 3342 3456 4456 5013 6684 8912 10026 13368 15039 17824 20052 26736 30078 35648 40104 53472 60156 71296 80208 106944 120312 160416 213888 240624 310249 320832 481248 620498 641664 930747 962496 1240996 1861494 1924992 2481992 2792241 3722988 4963984 5584482 7445976 8376723 9927968 11168964 14891952 16753446 19855936 22337928 29783904 33506892 39711872 44675856 59567808 67013784 89351712 119135616 134027568 178703424 268055136 357406848 536110272 1072220544