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220417487472 = 2437133476353
BaseRepresentation
bin1100110101000111100…
…1111111001001110000
3210001221021101111220010
43031101321333021300
512102403334044342
6245131451414520
721632102505360
oct3152171771160
9701837344803
10220417487472
1185529a1a796
1236875454440
1317a2934c000
14a94da009a0
155b00baa29c
hex3351e7f270

220417487472 has 320 divisors, whose sum is σ = 720073912320. Its totient is φ = 56886276096.

The previous prime is 220417487471. The next prime is 220417487473. The reversal of 220417487472 is 274784714022.

It is an interprime number because it is at equal distance from previous prime (220417487471) and next prime (220417487473).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220417487471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34691848 + ... + 34698200.

It is an arithmetic number, because the mean of its divisors is an integer number (2250230976).

Almost surely, 2220417487472 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 220417487472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360036956160).

220417487472 is an abundant number, since it is smaller than the sum of its proper divisors (499656424848).

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

220417487472 is a wasteful number, since it uses less digits than its factorization.

220417487472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6457 (or 6425 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 48.

The spelling of 220417487472 in words is "two hundred twenty billion, four hundred seventeen million, four hundred eighty-seven thousand, four hundred seventy-two".