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22211140144 = 2419214832593
BaseRepresentation
bin10100101011111000…
…110001101000110000
32010022221011211022011
4110223320301220300
5330442022441034
614111553452304
71414261401424
oct245370615060
963287154264
1022211140144
119468678376
12437a571094
13212c809a9b
141109c22b84
1589ee38864
hex52be31a30

22211140144 has 60 divisors (see below), whose sum is σ = 45466397256. Its totient is φ = 10509917184.

The previous prime is 22211140141. The next prime is 22211140151. The reversal of 22211140144 is 44104111222.

It is not an unprimeable number, because it can be changed into a prime (22211140141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8564512 + ... + 8567104.

Almost surely, 222211140144 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 22211140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22733198628).

22211140144 is an abundant number, since it is smaller than the sum of its proper divisors (23255257112).

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

22211140144 is a wasteful number, since it uses less digits than its factorization.

22211140144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4122 (or 4097 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 22211140144 its reverse (44104111222), we get a palindrome (66315251366).

The spelling of 22211140144 in words is "twenty-two billion, two hundred eleven million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 1483 2593 2888 2966 5186 5776 5932 10372 11864 20744 23728 28177 41488 49267 56354 98534 112708 197068 225416 394136 450832 535363 788272 936073 1070726 1872146 2141452 3744292 3845419 4282904 7488584 7690838 8565808 14977168 15381676 30763352 61526704 73062961 146125922 292251844 584503688 1169007376 1388196259 2776392518 5552785036 11105570072 22211140144