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2242632708 = 2232731097829
BaseRepresentation
bin1000010110101011…
…1101110000000100
312210021220112201200
42011222331300010
514043103221313
61010311222500
7106401030531
oct20552756004
95707815650
102242632708
11a509a9168
12527077a30
1329980a604
14173bb7d88
15d1d3db73
hex85abdc04

2242632708 has 72 divisors (see below), whose sum is σ = 5799994200. Its totient is φ = 730446336.

The previous prime is 2242632703. The next prime is 2242632739. The reversal of 2242632708 is 8072362422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 221950404 + 2020682304 = 14898^2 + 44952^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2242632703) 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, 282538 + ... + 290366.

It is an arithmetic number, because the mean of its divisors is an integer number (80555475).

Almost surely, 22242632708 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 2242632708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899997100).

2242632708 is an abundant number, since it is smaller than the sum of its proper divisors (3557361492).

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

2242632708 is a wasteful number, since it uses less digits than its factorization.

2242632708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8021 (or 8016 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2242632708 is about 47356.4431519091. The cubic root of 2242632708 is about 1308.9389282895.

The spelling of 2242632708 in words is "two billion, two hundred forty-two million, six hundred thirty-two thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 109 146 218 219 292 327 436 438 654 657 876 981 1308 1314 1962 2628 3924 7829 7957 15658 15914 23487 23871 31316 31828 46974 47742 70461 71613 93948 95484 140922 143226 281844 286452 571517 853361 1143034 1706722 1714551 2286068 2560083 3413444 3429102 5120166 5143653 6858204 7680249 10240332 10287306 15360498 20574612 30720996 62295353 124590706 186886059 249181412 373772118 560658177 747544236 1121316354 2242632708