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22906492240 = 2451725765537
BaseRepresentation
bin10101010101010101…
…010101010101010000
32012010101121101001111
4111111111111111100
5333403030222430
614304553343104
71440433654132
oct252525252520
965111541044
1022906492240
119795132725
124533407a94
1322108ac728
14117430b052
158e0eddc2a
hex555555550

22906492240 has 80 divisors (see below), whose sum is σ = 56610675792. Its totient is φ = 8589934592.

The previous prime is 22906492211. The next prime is 22906492243. The reversal of 22906492240 is 4229460922.

It can be written as a sum of positive squares in 8 ways, for example, as 11692529424 + 11213962816 = 108132^2 + 105896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 22906492193 and 22906492202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22906492243) by changing a digit.

In principle, a polygon with 22906492240 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316752 + ... + 382288.

Almost surely, 222906492240 is an apocalyptic number.

22906492240 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 22906492240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28305337896).

22906492240 is an abundant number, since it is smaller than the sum of its proper divisors (33704183552).

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

22906492240 is a wasteful number, since it uses less digits than its factorization.

22906492240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65824 (or 65818 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 22906492240 in words is "twenty-two billion, nine hundred six million, four hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 257 272 340 514 680 1028 1285 1360 2056 2570 4112 4369 5140 8738 10280 17476 20560 21845 34952 43690 65537 69904 87380 131074 174760 262148 327685 349520 524296 655370 1048592 1114129 1310740 2228258 2621480 4456516 5242960 5570645 8913032 11141290 16843009 17826064 22282580 33686018 44565160 67372036 84215045 89130320 134744072 168430090 269488144 286331153 336860180 572662306 673720360 1145324612 1347440720 1431655765 2290649224 2863311530 4581298448 5726623060 11453246120 22906492240