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4220540046 = 2337110091091
BaseRepresentation
bin1111101110010000…
…0101010010001110
3101220010200122112000
43323210011102032
532120424240141
61534444453130
7206405666322
oct37344052216
911803618460
104220540046
111876426228
1299954a1a6
1352351ab98
142c0761982
1519a7da5b6
hexfb90548e

4220540046 has 64 divisors (see below), whose sum is σ = 9529228800. Its totient is φ = 1384387200.

The previous prime is 4220540033. The next prime is 4220540063. The reversal of 4220540046 is 6400450224.

4220540046 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 3867961 + ... + 3869051.

It is an arithmetic number, because the mean of its divisors is an integer number (148894200).

Almost surely, 24220540046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4220540046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764614400).

4220540046 is an abundant number, since it is smaller than the sum of its proper divisors (5308688754).

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

4220540046 is a wasteful number, since it uses less digits than its factorization.

4220540046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4220540046 is about 64965.6836029607. The cubic root of 4220540046 is about 1616.0545207462.

The spelling of 4220540046 in words is "four billion, two hundred twenty million, five hundred forty thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 1009 1091 1278 1917 2018 2182 3027 3273 3834 6054 6546 9081 9819 18162 19638 27243 29457 54486 58914 71639 77461 143278 154922 214917 232383 429834 464766 644751 697149 1100819 1289502 1394298 1934253 2091447 2201638 3302457 3868506 4182894 6604914 9907371 19814742 29722113 59444226 78158149 156316298 234474447 468948894 703423341 1406846682 2110270023 4220540046