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22121144430 = 235711173171777
BaseRepresentation
bin10100100110100001…
…011110000001101110
32010002122211120101120
4110212201132001232
5330301003110210
614055020521410
71412116424310
oct244641360156
963078746346
1022121144430
11942189a250
1243543b0266
132116c89a98
1410dbcb77b0
158970ad270
hex52685e06e

22121144430 has 256 divisors, whose sum is σ = 70345304064. Its totient is φ = 4310138880.

The previous prime is 22121144429. The next prime is 22121144431. The reversal of 22121144430 is 3444112122.

It is an interprime number because it is at equal distance from previous prime (22121144429) and next prime (22121144431).

It is a self number, because there is not a number n which added to its sum of digits gives 22121144430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121144431) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12447702 + ... + 12449478.

It is an arithmetic number, because the mean of its divisors is an integer number (274786344).

Almost surely, 222121144430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121144430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35172652032).

22121144430 is an abundant number, since it is smaller than the sum of its proper divisors (48224159634).

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

22121144430 is a wasteful number, since it uses less digits than its factorization.

22121144430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22121144430 its reverse (3444112122), we get a palindrome (25565256552).

The spelling of 22121144430 in words is "twenty-two billion, one hundred twenty-one million, one hundred forty-four thousand, four hundred thirty".