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2246496472 = 2311432692207
BaseRepresentation
bin1000010111100110…
…1101000011011000
312210120011211211001
42011321231003120
514100100341342
61010530114344
7106445622253
oct20571550330
95716154731
102246496472
11a530a8060
1252841b9b4
1329a56116c
1417450209a
15d23538b7
hex85e6d0d8

2246496472 has 64 divisors (see below), whose sum is σ = 4721587200. Its totient is φ = 993229440.

The previous prime is 2246496463. The next prime is 2246496479. The reversal of 2246496472 is 2746946422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246496479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1016793 + ... + 1018999.

It is an arithmetic number, because the mean of its divisors is an integer number (73774800).

Almost surely, 22246496472 is an apocalyptic number.

2246496472 is a gapful number since it is divisible by the number (22) 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 2246496472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360793600).

2246496472 is an abundant number, since it is smaller than the sum of its proper divisors (2475090728).

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

2246496472 is a wasteful number, since it uses less digits than its factorization.

2246496472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2532 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 46.

The square root of 2246496472 is about 47397.2200872583. The cubic root of 2246496472 is about 1309.6902074203.

The spelling of 2246496472 in words is "two billion, two hundred forty-six million, four hundred ninety-six thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 269 344 473 538 946 1076 1892 2152 2207 2959 3784 4414 5918 8828 11567 11836 17656 23134 23672 24277 46268 48554 92536 94901 97108 127237 189802 194216 254474 379604 508948 593683 759208 1017896 1043911 1187366 2087822 2374732 4175644 4749464 6530513 8351288 13061026 25528369 26122052 51056738 52244104 102113476 204226952 280812059 561624118 1123248236 2246496472