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2249228436 = 22371321931269
BaseRepresentation
bin1000011000010000…
…1000000010010100
312210202022122100220
42012010020002110
514101300302221
61011104434340
7106511061210
oct20604100224
95722278326
102249228436
11a546a3684
125293189b0
1329aca9800
14174a13940
15d26e30c6
hex86108094

2249228436 has 288 divisors, whose sum is σ = 7083417600. Its totient is φ = 541831680.

The previous prime is 2249228431. The next prime is 2249228461. The reversal of 2249228436 is 6348229422.

It is a super-2 number, since 2×22492284362 = 10118057114622012192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249228431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8361310 + ... + 8361578.

It is an arithmetic number, because the mean of its divisors is an integer number (24595200).

Almost surely, 22249228436 is an apocalyptic number.

2249228436 is a gapful number since it is divisible by the number (26) 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 2249228436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541708800).

2249228436 is an abundant number, since it is smaller than the sum of its proper divisors (4834189164).

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

2249228436 is a wasteful number, since it uses less digits than its factorization.

2249228436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 344 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 2249228436 is about 47426.0312065009. The cubic root of 2249228436 is about 1310.2208970384.

The spelling of 2249228436 in words is "two billion, two hundred forty-nine million, two hundred twenty-eight thousand, four hundred thirty-six".