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22274006048 = 257237692
BaseRepresentation
bin10100101111101000…
…100101110000100000
32010111022110202002222
4110233220211300200
5331104121143143
614122121130212
71415653633100
oct245750456040
963438422088
1022274006048
1194a0106468
124397629968
13213c84b348
141114309200
158a5705768
hex52fa25c20

22274006048 has 54 divisors (see below), whose sum is σ = 51024989421. Its totient is φ = 9543469824.

The previous prime is 22274006021. The next prime is 22274006107. The reversal of 22274006048 is 84060047222.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 19529503504 + 2744502544 = 139748^2 + 52388^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105532.

It is a super-2 number, since 2×222740060482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22274005999 and 22274006017.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5907908 + ... + 5911676.

Almost surely, 222274006048 is an apocalyptic number.

22274006048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22274006048 is an abundant number, since it is smaller than the sum of its proper divisors (28750983373).

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

22274006048 is an frugal number, since it uses more digits than its factorization.

22274006048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7562 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The spelling of 22274006048 in words is "twenty-two billion, two hundred seventy-four million, six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 3769 7538 15076 26383 30152 52766 60304 105532 120608 184681 211064 369362 422128 738724 844256 1477448 2954896 5909792 14205361 28410722 56821444 99437527 113642888 198875054 227285776 397750108 454571552 696062689 795500216 1392125378 1591000432 2784250756 3182000864 5568501512 11137003024 22274006048