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11222532140 = 22523181134789
BaseRepresentation
bin10100111001110101…
…00100000000101100
31001222010011200221112
422130322210000230
5140440432012030
65053333451152
7545050643411
oct123472440054
931863150845
1011222532140
114839910556
1222124a0ab8
13109b070781
1478667a108
1545a399a95
hex29cea402c

11222532140 has 48 divisors (see below), whose sum is σ = 24728034240. Its totient is φ = 4270083840.

The previous prime is 11222532107. The next prime is 11222532149. The reversal of 11222532140 is 4123522211.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (11222532149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15866 + ... + 150654.

It is an arithmetic number, because the mean of its divisors is an integer number (515167380).

Almost surely, 211222532140 is an apocalyptic number.

11222532140 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 11222532140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364017120).

11222532140 is an abundant number, since it is smaller than the sum of its proper divisors (13505502100).

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

11222532140 is a wasteful number, since it uses less digits than its factorization.

11222532140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135002 (or 135000 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 11222532140 in words is "eleven billion, two hundred twenty-two million, five hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 181 230 362 460 724 905 1810 3620 4163 8326 16652 20815 41630 83260 134789 269578 539156 673945 1347890 2695780 3100147 6200294 12400588 15500735 24396809 31001470 48793618 62002940 97587236 121984045 243968090 487936180 561126607 1122253214 2244506428 2805633035 5611266070 11222532140