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211214102240 = 2558914832451
BaseRepresentation
bin1100010010110101010…
…1110110111011100000
3202012011212121002210102
43010231111312323200
511430031302232430
6241010323121532
721155040150431
oct3045525667340
9665155532712
10211214102240
1181636944199
1234b272132a8
1316bc06ca92b
14a3195a5488
155762c06345
hex312d576ee0

211214102240 has 48 divisors (see below), whose sum is σ = 504600017040. Its totient is φ = 83536358400.

The previous prime is 211214102227. The next prime is 211214102261. The reversal of 211214102240 is 42201412112.

It is a super-2 number, since 2×2112141022402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7401986 + ... + 7430465.

It is an arithmetic number, because the mean of its divisors is an integer number (10512500355).

Almost surely, 2211214102240 is an apocalyptic number.

211214102240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211214102240 is an abundant number, since it is smaller than the sum of its proper divisors (293385914800).

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

211214102240 is a wasteful number, since it uses less digits than its factorization.

211214102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14832555 (or 14832547 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211214102240 its reverse (42201412112), we get a palindrome (253415514352).

The spelling of 211214102240 in words is "two hundred eleven billion, two hundred fourteen million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1780 2848 3560 7120 14240 14832451 29664902 59329804 74162255 118659608 148324510 237319216 296649020 474638432 593298040 1186596080 1320088139 2373192160 2640176278 5280352556 6600440695 10560705112 13200881390 21121410224 26401762780 42242820448 52803525560 105607051120 211214102240