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229674117120 = 211357371307
BaseRepresentation
bin1101010111100110100…
…1001110100000000000
3210221211101101000121020
43111321221032200000
512230333033221440
6253302201225440
722410352533000
oct3257151164000
9727741330536
10229674117120
118944a062638
1238619492280
1318873023466
14b18b13a000
155e9367a3d0
hex3579a4e800

229674117120 has 768 divisors, whose sum is σ = 871782912000. Its totient is φ = 51588956160.

The previous prime is 229674117119. The next prime is 229674117131. The reversal of 229674117120 is 21711476922.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 748124007 + ... + 748124313.

It is an arithmetic number, because the mean of its divisors is an integer number (1135134000).

Almost surely, 2229674117120 is an apocalyptic number.

229674117120 is a gapful number since it is divisible by the number (20) 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 229674117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435891456000).

229674117120 is an abundant number, since it is smaller than the sum of its proper divisors (642108794880).

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

229674117120 is an equidigital number, since it uses as much as digits as its factorization.

229674117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 229674117120 in words is "two hundred twenty-nine billion, six hundred seventy-four million, one hundred seventeen thousand, one hundred twenty".