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2229196464 = 243511471109
BaseRepresentation
bin1000010011011110…
…1101011010110000
312202100121220200000
42010313231122300
514031133241324
61005111230000
7106145600025
oct20467553260
95670556600
102229196464
11a44361330
12522678300
13296ab4981
141720bb54c
15d0a879c9
hex84ded6b0

2229196464 has 240 divisors, whose sum is σ = 7214538240. Its totient is φ = 660545280.

The previous prime is 2229196457. The next prime is 2229196471. The reversal of 2229196464 is 4646919222.

2229196464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2229196457) and next prime (2229196471).

It is a super-2 number, since 2×22291964642 = 9938633750220206592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2009542 + ... + 2010650.

It is an arithmetic number, because the mean of its divisors is an integer number (30060576).

Almost surely, 22229196464 is an apocalyptic number.

2229196464 is a gapful number since it is divisible by the number (24) 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 2229196464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607269120).

2229196464 is an abundant number, since it is smaller than the sum of its proper divisors (4985341776).

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

2229196464 is a wasteful number, since it uses less digits than its factorization.

2229196464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1172 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 2229196464 is about 47214.3671354388. The cubic root of 2229196464 is about 1306.3196164022.

The spelling of 2229196464 in words is "two billion, two hundred twenty-nine million, one hundred ninety-six thousand, four hundred sixty-four".