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5120222420 = 2254313214507
BaseRepresentation
bin1001100010011000…
…00110010011010100
3111012211121020201102
410301030012103110
540441234104140
62204024045232
7240612113105
oct46114062324
914184536642
105120222420
112198260985
12baa903818
13637a32b11
143680383ac
151ee7a2e15
hex1313064d4

5120222420 has 48 divisors (see below), whose sum is σ = 11013296448. Its totient is φ = 1998501120.

The previous prime is 5120222417. The next prime is 5120222431. The reversal of 5120222420 is 242220215.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5120222392 and 5120222401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1133807 + ... + 1138313.

It is an arithmetic number, because the mean of its divisors is an integer number (229443676).

Almost surely, 25120222420 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 5120222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506648224).

5120222420 is an abundant number, since it is smaller than the sum of its proper divisors (5893074028).

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

5120222420 is a wasteful number, since it uses less digits than its factorization.

5120222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 5120222420 is about 71555.7294701130. The cubic root of 5120222420 is about 1723.5727094435.

Adding to 5120222420 its reverse (242220215), we get a palindrome (5362442635).

The spelling of 5120222420 in words is "five billion, one hundred twenty million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1321 2642 4507 5284 6605 9014 13210 18028 22535 26420 45070 56803 90140 113606 193801 227212 284015 387602 568030 775204 969005 1136060 1938010 3876020 5953747 11907494 23814988 29768735 59537470 119074940 256011121 512022242 1024044484 1280055605 2560111210 5120222420