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1072218140 = 225723332987
BaseRepresentation
bin111111111010001…
…100000000011100
32202201120022202222
4333322030000130
54143441440030
6254221204512
735366463260
oct7772140034
92681508688
101072218140
1150026a3a4
1225b100738
131411a4506
14a258a0a0
15641e93e5
hex3fe8c01c

1072218140 has 48 divisors (see below), whose sum is σ = 2685215232. Its totient is φ = 351633216.

The previous prime is 1072218113. The next prime is 1072218157. The reversal of 1072218140 is 418122701.

1072218140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10722181402 = 2299303479490119200, which contains 22 as substring.

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, 163274 + ... + 169713.

It is an arithmetic number, because the mean of its divisors is an integer number (55941984).

Almost surely, 21072218140 is an apocalyptic number.

1072218140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072218140 is an abundant number, since it is smaller than the sum of its proper divisors (1612997092).

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

1072218140 is a wasteful number, since it uses less digits than its factorization.

1072218140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333026 (or 333024 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 1072218140 is about 32744.7421733627. The cubic root of 1072218140 is about 1023.5154046083.

The spelling of 1072218140 in words is "one billion, seventy-two million, two hundred eighteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 332987 665974 1331948 1664935 2330909 3329870 4661818 6659740 7658701 9323636 11654545 15317402 23309090 30634804 38293505 46618180 53610907 76587010 107221814 153174020 214443628 268054535 536109070 1072218140