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22152542440 = 2357713113583
BaseRepresentation
bin10100101000011001…
…001111100011101000
32010011211220202100211
4110220121033203220
5330332022324230
614102101510504
71412650334560
oct245031174350
963154822324
1022152542440
119438595016
124362a12434
1321206311a2
14110212bda0
15899c1142a
hex52864f8e8

22152542440 has 128 divisors (see below), whose sum is σ = 57967902720. Its totient is φ = 7462022400.

The previous prime is 22152542389. The next prime is 22152542479. The reversal of 22152542440 is 4424525122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6180889 + ... + 6184471.

It is an arithmetic number, because the mean of its divisors is an integer number (452874240).

Almost surely, 222152542440 is an apocalyptic number.

22152542440 is a gapful number since it is divisible by the number (20) 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 22152542440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28983951360).

22152542440 is an abundant number, since it is smaller than the sum of its proper divisors (35815360280).

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

22152542440 is a wasteful number, since it uses less digits than its factorization.

22152542440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

The spelling of 22152542440 in words is "twenty-two billion, one hundred fifty-two million, five hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 140 142 280 284 311 355 497 568 622 710 994 1244 1420 1555 1988 2177 2485 2488 2840 3110 3583 3976 4354 4970 6220 7166 8708 9940 10885 12440 14332 17416 17915 19880 21770 22081 25081 28664 35830 43540 44162 50162 71660 87080 88324 100324 110405 125405 143320 154567 176648 200648 220810 250810 254393 309134 441620 501620 508786 618268 772835 883240 1003240 1017572 1114313 1236536 1271965 1545670 1780751 2035144 2228626 2543930 3091340 3561502 4457252 5087860 5571565 6182680 7123004 7800191 8903755 8914504 10175720 11143130 14246008 15600382 17807510 22286260 31200764 35615020 39000955 44572520 62401528 71230040 78001910 79116223 156003820 158232446 312007640 316464892 395581115 553813561 632929784 791162230 1107627122 1582324460 2215254244 2769067805 3164648920 4430508488 5538135610 11076271220 22152542440