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2242152024 = 233719369151
BaseRepresentation
bin1000010110100100…
…1000011001011000
312210021000010100120
42011221020121120
514042442331044
61010253033240
7106363656240
oct20551103130
95707003316
102242152024
11a50700002
12526a85820
1329969c898
14173ad0b20
15d1c96519
hex85a48658

2242152024 has 64 divisors (see below), whose sum is σ = 6439434240. Its totient is φ = 637286400.

The previous prime is 2242152013. The next prime is 2242152041. The reversal of 2242152024 is 4202512422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2242151985 and 2242152003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2152 + ... + 66999.

It is an arithmetic number, because the mean of its divisors is an integer number (100616160).

Almost surely, 22242152024 is an apocalyptic number.

2242152024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242152024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219717120).

2242152024 is an abundant number, since it is smaller than the sum of its proper divisors (4197282216).

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

2242152024 is a wasteful number, since it uses less digits than its factorization.

2242152024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69360 (or 69356 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2242152024 is about 47351.3677099194. The cubic root of 2242152024 is about 1308.8454026525.

Adding to 2242152024 its reverse (4202512422), we get a palindrome (6444664446).

The spelling of 2242152024 in words is "two billion, two hundred forty-two million, one hundred fifty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 193 386 579 772 1158 1351 1544 2316 2702 4053 4632 5404 8106 10808 16212 32424 69151 138302 207453 276604 414906 484057 553208 829812 968114 1452171 1659624 1936228 2904342 3872456 5808684 11617368 13346143 26692286 40038429 53384572 80076858 93423001 106769144 160153716 186846002 280269003 320307432 373692004 560538006 747384008 1121076012 2242152024