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11222133340 = 225111313671061
BaseRepresentation
bin10100111001110010…
…00010101001011100
31001222002102102220011
422130321002221130
5140440331231330
65053321133004
7545044362625
oct123471025134
931862372804
1011222133340
114839668970
12221232a164
13109ac610b2
147865b4a4c
1545a31b82a
hex29ce42a5c

11222133340 has 96 divisors (see below), whose sum is σ = 26000206848. Its totient is φ = 4034784000.

The previous prime is 11222133317. The next prime is 11222133341. The reversal of 11222133340 is 4333122211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222133341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10576410 + ... + 10577470.

It is an arithmetic number, because the mean of its divisors is an integer number (270835488).

Almost surely, 211222133340 is an apocalyptic number.

11222133340 is a gapful number since it is divisible by the number (10) 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 11222133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13000103424).

11222133340 is an abundant number, since it is smaller than the sum of its proper divisors (14778073508).

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

11222133340 is a wasteful number, since it uses less digits than its factorization.

11222133340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11222133340 its reverse (4333122211), we get a palindrome (15555255551).

The spelling of 11222133340 in words is "eleven billion, two hundred twenty-two million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 367 524 655 734 1061 1310 1441 1468 1835 2122 2620 2882 3670 4037 4244 5305 5764 7205 7340 8074 10610 11671 14410 16148 20185 21220 23342 28820 40370 46684 48077 58355 80740 96154 116710 138991 192308 233420 240385 277982 389387 480770 528847 555964 694955 778774 961540 1057694 1389910 1528901 1557548 1946935 2115388 2644235 2779820 3057802 3893870 4283257 5288470 6115604 7644505 7787740 8566514 10576940 15289010 17133028 21416285 30578020 42832570 51009697 85665140 102019394 204038788 255048485 510096970 561106667 1020193940 1122213334 2244426668 2805533335 5611066670 11222133340