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2242120704 = 21032832579
BaseRepresentation
bin1000010110100100…
…0000110000000000
312210020221112101120
42011221000300000
514042440330304
61010252232240
7106363466025
oct20551006000
95706845346
102242120704
11a5068951a
12526a6b680
1329968b555
14173ac354c
15d1c8c0d9
hex85a40c00

2242120704 has 88 divisors (see below), whose sum is σ = 5999511360. Its totient is φ = 744443904.

The previous prime is 2242120691. The next prime is 2242120723. The reversal of 2242120704 is 4070212422.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 868087 + ... + 870665.

Almost surely, 22242120704 is an apocalyptic number.

2242120704 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 2242120704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999755680).

2242120704 is an abundant number, since it is smaller than the sum of its proper divisors (3757390656).

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

2242120704 is a wasteful number, since it uses less digits than its factorization.

2242120704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 2242120704 is about 47351.0369897007. The cubic root of 2242120704 is about 1308.8393083246.

The spelling of 2242120704 in words is "two billion, two hundred forty-two million, one hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 283 384 512 566 768 849 1024 1132 1536 1698 2264 2579 3072 3396 4528 5158 6792 7737 9056 10316 13584 15474 18112 20632 27168 30948 36224 41264 54336 61896 72448 82528 108672 123792 144896 165056 217344 247584 289792 330112 434688 495168 660224 729857 869376 990336 1320448 1459714 1980672 2189571 2640896 2919428 3961344 4379142 5838856 7922688 8758284 11677712 17516568 23355424 35033136 46710848 70066272 93421696 140132544 186843392 280265088 373686784 560530176 747373568 1121060352 2242120704