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22145412300 = 223521111359387
BaseRepresentation
bin10100100111111110…
…000010110011001100
32010011100111111122120
4110213332002303030
5330323211143200
614101245012540
71412532620154
oct244776026314
963140444576
1022145412300
119434565040
124360554150
13211c00597b
1411011d3764
158992a39a0
hex527f82ccc

22145412300 has 144 divisors (see below), whose sum is σ = 70518736512. Its totient is φ = 5320985600.

The previous prime is 22145412281. The next prime is 22145412313. The reversal of 22145412300 is 321454122.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343207 + ... + 402593.

It is an arithmetic number, because the mean of its divisors is an integer number (489713448).

Almost surely, 222145412300 is an apocalyptic number.

22145412300 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 22145412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35259368256).

22145412300 is an abundant number, since it is smaller than the sum of its proper divisors (48373324212).

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

22145412300 is a wasteful number, since it uses less digits than its factorization.

22145412300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59528 (or 59521 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 22145412300 its reverse (321454122), we get a palindrome (22466866422).

The spelling of 22145412300 in words is "twenty-two billion, one hundred forty-five million, four hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 113 132 150 165 220 226 275 300 330 339 452 550 565 660 678 825 1100 1130 1243 1356 1650 1695 2260 2486 2825 3300 3390 3729 4972 5650 6215 6780 7458 8475 11300 12430 14916 16950 18645 24860 31075 33900 37290 59387 62150 74580 93225 118774 124300 178161 186450 237548 296935 356322 372900 593870 653257 712644 890805 1187740 1306514 1484675 1781610 1959771 2613028 2969350 3266285 3563220 3919542 4454025 5938700 6532570 6710731 7839084 8908050 9798855 13065140 13421462 16331425 17816100 19597710 20132193 26842924 32662850 33553655 39195420 40264386 48994275 65325700 67107310 73818041 80528772 97988550 100660965 134214620 147636082 167768275 195977100 201321930 221454123 295272164 335536550 369090205 402643860 442908246 503304825 671073100 738180410 885816492 1006609650 1107270615 1476360820 1845451025 2013219300 2214541230 3690902050 4429082460 5536353075 7381804100 11072706150 22145412300