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2242916742 = 231125952363
BaseRepresentation
bin1000010110110000…
…0011000110000110
312210022102222100110
42011230003012012
514043141313432
61010321253450
7106403322603
oct20554030606
95708388313
102242916742
11a51082600
12527194286
132998a9991
14173c4d6aa
15d1d97dcc
hex85b03186

2242916742 has 48 divisors (see below), whose sum is σ = 5014376640. Its totient is φ = 668139120.

The previous prime is 2242916717. The next prime is 2242916749. The reversal of 2242916742 is 2476192422.

It is a self number, because there is not a number n which added to its sum of digits gives 2242916742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242916749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16653 + ... + 69015.

It is an arithmetic number, because the mean of its divisors is an integer number (104466180).

Almost surely, 22242916742 is an apocalyptic number.

2242916742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242916742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507188320).

2242916742 is an abundant number, since it is smaller than the sum of its proper divisors (2771459898).

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

2242916742 is a wasteful number, since it uses less digits than its factorization.

2242916742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52449 (or 52438 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 2242916742 is about 47359.4419519487. The cubic root of 2242916742 is about 1308.9941858838.

The spelling of 2242916742 in words is "two billion, two hundred forty-two million, nine hundred sixteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 59 66 118 121 177 242 354 363 649 726 1298 1947 3894 7139 14278 21417 42834 52363 104726 157089 314178 575993 1151986 1727979 3089417 3455958 6178834 6335923 9268251 12671846 18536502 19007769 33983587 38015538 67967174 101950761 203901522 373819457 747638914 1121458371 2242916742