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1022224540350 = 2352136114475939
BaseRepresentation
bin11101110000000010101…
…01001010001010111110
310121201112120211001102010
432320001111022022332
5113222003440242400
62101334203312050
7133565451141216
oct16700125121276
93551476731363
101022224540350
11364583116012
12146144b1b626
137551a7b7a30
1437693d57246
151b8cc94a450
hexee0154a2be

1022224540350 has 192 divisors, whose sum is σ = 2777267243520. Its totient is φ = 247286822400.

The previous prime is 1022224540333. The next prime is 1022224540369. The reversal of 1022224540350 is 530454222201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172117681 + ... + 172123619.

It is an arithmetic number, because the mean of its divisors is an integer number (14464933560).

Almost surely, 21022224540350 is an apocalyptic number.

1022224540350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022224540350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388633621760).

1022224540350 is an abundant number, since it is smaller than the sum of its proper divisors (1755042703170).

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

1022224540350 is a wasteful number, since it uses less digits than its factorization.

1022224540350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7475 (or 7470 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 1022224540350 its reverse (530454222201), we get a palindrome (1552678762551).

The spelling of 1022224540350 in words is "one trillion, twenty-two billion, two hundred twenty-four million, five hundred forty thousand, three hundred fifty".