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30209220864 = 2834172712
BaseRepresentation
bin11100001000100111…
…000010000100000000
32212222022222102110000
4130020213002010000
5443332030031424
621513344240000
72116420066134
oct341047020400
985868872400
1030209220864
11118a2354839
125a31010000
132b0582a424
14166814b3c4
15bbc1a53c9
hex7089c2100

30209220864 has 405 divisors, whose sum is σ = 97055564221. Its totient is φ = 9343918080.

The previous prime is 30209220857. The next prime is 30209220871. The reversal of 30209220864 is 46802290203.

The square root of 30209220864 is 173808.

It is a perfect power (a square), and thus also a powerful number.

30209220864 is a `hidden beast` number, since 302 + 0 + 92 + 208 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (30209220857) and next prime (30209220871).

It can be written as a sum of positive squares in only one way, i.e., 23519289600 + 6689931264 = 153360^2 + 81792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 425481949 + ... + 425482019.

Almost surely, 230209220864 is an apocalyptic number.

30209220864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

30209220864 is the 173808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30209220864

30209220864 is an abundant number, since it is smaller than the sum of its proper divisors (66846343357).

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

30209220864 is an frugal number, since it uses more digits than its factorization.

30209220864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 30209220864 by its sum of digits (36), we get a square (1087531951104 = 10428482).

30209220864 divided by its sum of digits (36) gives a square (839145024 = 289682).

The spelling of 30209220864 in words is "thirty billion, two hundred nine million, two hundred twenty thousand, eight hundred sixty-four".