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5322226960 = 245433134943
BaseRepresentation
bin1001111010011101…
…01011110100010000
3111201220201010212001
410331032223310100
541344442230320
62240041443344
7245614116451
oct47516536420
914656633761
105322226960
112291292986
1210464a0554
1366a83c62b
14386bbd128
152123a620a
hex13d3abd10

5322226960 has 80 divisors (see below), whose sum is σ = 12704972544. Its totient is φ = 2072318976.

The previous prime is 5322226957. The next prime is 5322226961. The reversal of 5322226960 is 696222235.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (5322226961) 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, 1074249 + ... + 1079191.

Almost surely, 25322226960 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 5322226960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352486272).

5322226960 is an abundant number, since it is smaller than the sum of its proper divisors (7382745584).

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

5322226960 is a wasteful number, since it uses less digits than its factorization.

5322226960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312 (or 5306 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 5322226960 is about 72953.5945653125. The cubic root of 5322226960 is about 1745.9472977947.

The spelling of 5322226960 in words is "five billion, three hundred twenty-two million, two hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 313 344 430 626 688 860 1252 1565 1720 2504 3130 3440 4943 5008 6260 9886 12520 13459 19772 24715 25040 26918 39544 49430 53836 67295 79088 98860 107672 134590 197720 212549 215344 269180 395440 425098 538360 850196 1062745 1076720 1547159 1700392 2125490 3094318 3400784 4250980 6188636 7735795 8501960 12377272 15471590 17003920 24754544 30943180 61886360 66527837 123772720 133055674 266111348 332639185 532222696 665278370 1064445392 1330556740 2661113480 5322226960