Search a number
-
+
215083786240 = 2135127173239
BaseRepresentation
bin1100100001001111111…
…1100010000000000000
3202120011120002102022001
43020103333202000000
512010442422124430
6242450315553344
721352656006121
oct3102377420000
9676146072261
10215083786240
1183242210044
123582715b854
1317389322a8b
14a5a54b6048
1558dc7d93ca
hex3213fe2000

215083786240 has 224 divisors, whose sum is σ = 525430333440. Its totient is φ = 84507623424.

The previous prime is 215083786223. The next prime is 215083786271. The reversal of 215083786240 is 42687380512.

It is a super-2 number, since 2×2150837862402 (a number of 23 digits) contains 22 as substring.

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, 899932041 + ... + 899932279.

Almost surely, 2215083786240 is an apocalyptic number.

215083786240 is a gapful number since it is divisible by the number (20) 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 215083786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262715166720).

215083786240 is an abundant number, since it is smaller than the sum of its proper divisors (310346547200).

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

215083786240 is a wasteful number, since it uses less digits than its factorization.

215083786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 215083786240 in words is "two hundred fifteen billion, eighty-three million, seven hundred eighty-six thousand, two hundred forty".