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34221553400 = 2352171107767
BaseRepresentation
bin11111110111110000…
…110111011011111000
310021022221220000221202
4133313300313123320
51030041204202100
623415434353332
72321020255466
oct376760673370
9107287800852
1034221553400
11135711a1641
12677088b848
1332c4b792a8
141928d91836
15d545647d5
hex7f7c376f8

34221553400 has 24 divisors (see below), whose sum is σ = 79565112120. Its totient is φ = 13688621280.

The previous prime is 34221553381. The next prime is 34221553441. The reversal of 34221553400 is 435512243.

It is a happy number.

It is a super-2 number, since 2×342215534002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85553684 + ... + 85554083.

It is an arithmetic number, because the mean of its divisors is an integer number (3315213005).

Almost surely, 234221553400 is an apocalyptic number.

It is an amenable number.

34221553400 is an abundant number, since it is smaller than the sum of its proper divisors (45343558720).

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

34221553400 is a wasteful number, since it uses less digits than its factorization.

34221553400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171107783 (or 171107774 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 34221553400 in words is "thirty-four billion, two hundred twenty-one million, five hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 171107767 342215534 684431068 855538835 1368862136 1711077670 3422155340 4277694175 6844310680 8555388350 17110776700 34221553400