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22314052352 = 281937123989
BaseRepresentation
bin10100110010000001…
…010110101100000000
32010121002211022022102
4110302001112230000
5331144344133402
614130111325532
71416651213134
oct246201265400
963532738272
1022314052352
119510778889
1243a8b208a8
132147c2cc97
1411197713c4
158a8eb6102
hex532056b00

22314052352 has 72 divisors (see below), whose sum is σ = 48152756400. Its totient is φ = 10284060672.

The previous prime is 22314052279. The next prime is 22314052367. The reversal of 22314052352 is 25325041322.

It is a super-3 number, since 3×223140523523 (a number of 32 digits) contains 333 as substring.

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, 117974 + ... + 241962.

Almost surely, 222314052352 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 22314052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24076378200).

22314052352 is an abundant number, since it is smaller than the sum of its proper divisors (25838704048).

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

22314052352 is a wasteful number, since it uses less digits than its factorization.

22314052352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124061 (or 124047 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 22314052352 its reverse (25325041322), we get a palindrome (47639093674).

The spelling of 22314052352 in words is "twenty-two billion, three hundred fourteen million, fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 128 148 152 256 296 304 592 608 703 1184 1216 1406 2368 2432 2812 4736 4864 5624 9472 11248 22496 44992 89984 123989 179968 247978 495956 991912 1983824 2355791 3967648 4587593 4711582 7935296 9175186 9423164 15870592 18350372 18846328 31741184 36700744 37692656 73401488 75385312 87164267 146802976 150770624 174328534 293605952 301541248 348657068 587211904 603082496 697314136 1174423808 1394628272 2789256544 5578513088 11157026176 22314052352