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34226220400 = 2452111776603
BaseRepresentation
bin11111111000000010…
…101010110101110000
310021100021200010212121
4133320002222311300
51030043403023100
623420122404024
72321105034061
oct377002526560
9107307603777
1034226220400
1113573899a69
126772360614
1332c5b21628
141929848568
15d54b8751a
hex7f80aad70

34226220400 has 60 divisors (see below), whose sum is σ = 82303184392. Its totient is φ = 13678053120.

The previous prime is 34226220389. The next prime is 34226220403. The reversal of 34226220400 is 402262243.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34226220403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 408499 + ... + 485101.

Almost surely, 234226220400 is an apocalyptic number.

It is an amenable number.

34226220400 is an abundant number, since it is smaller than the sum of its proper divisors (48076963992).

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

34226220400 is a wasteful number, since it uses less digits than its factorization.

34226220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77738 (or 77727 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34226220400 its reverse (402262243), we get a palindrome (34628482643).

The spelling of 34226220400 in words is "thirty-four billion, two hundred twenty-six million, two hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1117 2234 4468 5585 8936 11170 17872 22340 27925 44680 55850 76603 89360 111700 153206 223400 306412 383015 446800 612824 766030 1225648 1532060 1915075 3064120 3830150 6128240 7660300 15320600 30641200 85565551 171131102 342262204 427827755 684524408 855655510 1369048816 1711311020 2139138775 3422622040 4278277550 6845244080 8556555100 17113110200 34226220400