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22214947328 = 29729412
BaseRepresentation
bin10100101100000111…
…010011001000000000
32010100012100020202222
4110230013103020000
5330444011303303
614112211230212
71414335636200
oct245407231000
963305306688
1022214947328
11946a838802
12437b8a8368
132130540962
14110a534400
158a043b938
hex52c1d3200

22214947328 has 90 divisors (see below), whose sum is σ = 51688211553. Its totient is φ = 9510574080.

The previous prime is 22214947309. The next prime is 22214947351. The reversal of 22214947328 is 82374941222.

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 21889794304 + 325153024 = 147952^2 + 18032^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105392.

It is a Duffinian number.

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, 23607338 + ... + 23608278.

Almost surely, 222214947328 is an apocalyptic number.

22214947328 is a gapful number since it is divisible by the number (28) 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 22214947328

22214947328 is an abundant number, since it is smaller than the sum of its proper divisors (29473264225).

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

22214947328 is an frugal number, since it uses more digits than its factorization.

22214947328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 950 counting only the distinct ones).

The product of its digits is 387072, while the sum is 44.

The spelling of 22214947328 in words is "twenty-two billion, two hundred fourteen million, nine hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 941 1568 1792 1882 3136 3584 3764 6272 6587 7528 12544 13174 15056 25088 26348 30112 46109 52696 60224 92218 105392 120448 184436 210784 240896 368872 421568 481792 737744 843136 885481 1475488 1686272 1770962 2950976 3372544 3541924 5901952 6198367 7083848 11803904 12396734 14167696 23607808 24793468 28335392 43388569 49586936 56670784 86777138 99173872 113341568 173554276 198347744 226683136 347108552 396695488 453366272 694217104 793390976 1388434208 1586781952 2776868416 3173563904 5553736832 11107473664 22214947328