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229419008000 = 214537131231
BaseRepresentation
bin1101010110101001110…
…0000100000000000000
3210221011121100010200022
43111222130010000000
512224322231224000
6253221005313012
722401134251430
oct3255234040000
9727147303608
10229419008000
118932905a356
1238567b65768
1318832212410
14b1652d02c0
155e7b087585
hex356a704000

229419008000 has 480 divisors, whose sum is σ = 705326189568. Its totient is φ = 72548352000.

The previous prime is 229419007999. The next prime is 229419008003. The reversal of 229419008000 is 800914922.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229419008003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186367385 + ... + 186368615.

Almost surely, 2229419008000 is an apocalyptic number.

229419008000 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 229419008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352663094784).

229419008000 is an abundant number, since it is smaller than the sum of its proper divisors (475907181568).

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

229419008000 is an equidigital number, since it uses as much as digits as its factorization.

229419008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 229419008000 in words is "two hundred twenty-nine billion, four hundred nineteen million, eight thousand".