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2222480916 = 22354748649
BaseRepresentation
bin1000010001111000…
…0101111000010100
312201212222201200000
42010132011320110
514022423342131
61004311251300
7106034530125
oct20436057024
95655881600
102222480916
11a40594897
12520379b30
132955a3086
1417125004c
15d01acce6
hex84785e14

2222480916 has 72 divisors (see below), whose sum is σ = 5950089600. Its totient is φ = 725049792.

The previous prime is 2222480879. The next prime is 2222480921. The reversal of 2222480916 is 6190842222.

It is a super-3 number, since 3×22224809163 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21360 + ... + 70008.

Almost surely, 22222480916 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 2222480916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975044800).

2222480916 is an abundant number, since it is smaller than the sum of its proper divisors (3727608684).

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

2222480916 is a wasteful number, since it uses less digits than its factorization.

2222480916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48715 (or 48701 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2222480916 is about 47143.1958611208. The cubic root of 2222480916 is about 1305.0065160198.

The spelling of 2222480916 in words is "two billion, two hundred twenty-two million, four hundred eighty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 243 282 324 423 486 564 846 972 1269 1692 2538 3807 5076 7614 11421 15228 22842 45684 48649 97298 145947 194596 291894 437841 583788 875682 1313523 1751364 2286503 2627046 3940569 4573006 5254092 6859509 7881138 9146012 11821707 13719018 15762276 20578527 23643414 27438036 41157054 47286828 61735581 82314108 123471162 185206743 246942324 370413486 555620229 740826972 1111240458 2222480916