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5225622240 = 253580913457
BaseRepresentation
bin1001101110111100…
…01010101011100000
3111111011221010002110
410313132022223200
541200224402430
62222311115320
7243332025156
oct46736125340
914434833073
105225622240
112241800373
12101a072b40
13653817387
143780333d6
15208b727b0
hex13778aae0

5225622240 has 96 divisors (see below), whose sum is σ = 16482281760. Its totient is φ = 1391673344.

The previous prime is 5225622209. The next prime is 5225622247. The reversal of 5225622240 is 422265225.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5225622198 and 5225622207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5225622247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381592 + ... + 395048.

It is an arithmetic number, because the mean of its divisors is an integer number (171690435).

Almost surely, 25225622240 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 5225622240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241140880).

5225622240 is an abundant number, since it is smaller than the sum of its proper divisors (11256659520).

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

5225622240 is a wasteful number, since it uses less digits than its factorization.

5225622240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14284 (or 14276 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 5225622240 is about 72288.4654699489. The cubic root of 5225622240 is about 1735.3190608785.

Adding to 5225622240 its reverse (422265225), we get a palindrome (5647887465).

The spelling of 5225622240 in words is "five billion, two hundred twenty-five million, six hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 809 1618 2427 3236 4045 4854 6472 8090 9708 12135 12944 13457 16180 19416 24270 25888 26914 32360 38832 40371 48540 53828 64720 67285 77664 80742 97080 107656 129440 134570 161484 194160 201855 215312 269140 322968 388320 403710 430624 538280 645936 807420 1076560 1291872 1614840 2153120 3229680 6459360 10886713 21773426 32660139 43546852 54433565 65320278 87093704 108867130 130640556 163300695 174187408 217734260 261281112 326601390 348374816 435468520 522562224 653202780 870937040 1045124448 1306405560 1741874080 2612811120 5225622240