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220335515040 = 25353720536043
BaseRepresentation
bin1100110100110100000…
…1010010010110100000
3210001201120010212212010
43031031001102112200
512102221342440130
6245115402432520
721630055655604
oct3151501222640
9701646125763
10220335515040
1185497721683
1236851b02740
1317a1537ac04
14a942b83504
155ae88b70b0
hex334d0525a0

220335515040 has 192 divisors, whose sum is σ = 713280387456. Its totient is φ = 57130831872.

The previous prime is 220335515011. The next prime is 220335515129. The reversal of 220335515040 is 40515533022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 220335514989 and 220335515007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36458259 + ... + 36464301.

It is an arithmetic number, because the mean of its divisors is an integer number (3715002018).

Almost surely, 2220335515040 is an apocalyptic number.

220335515040 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 220335515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356640193728).

220335515040 is an abundant number, since it is smaller than the sum of its proper divisors (492944872416).

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

220335515040 is a wasteful number, since it uses less digits than its factorization.

220335515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8151 (or 8143 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 220335515040 in words is "two hundred twenty billion, three hundred thirty-five million, five hundred fifteen thousand, forty".