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229372389120 = 28357371671381
BaseRepresentation
bin1101010110011110101…
…0001110011100000000
3210221001100121122121010
43111213222032130000
512224223312422440
6253212222200520
722400030065350
oct3254752163400
9727040548533
10229372389120
1189304808956
1238554423140
131882566bc94
14b15d036b60
155e76e29580
hex3567a8e700

229372389120 has 576 divisors, whose sum is σ = 865611565056. Its totient is φ = 50668830720.

The previous prime is 229372389107. The next prime is 229372389139. The reversal of 229372389120 is 21983273922.

It is a happy number.

It is a super-2 number, since 2×2293723891202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 229372389120.

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, 166090830 + ... + 166092210.

It is an arithmetic number, because the mean of its divisors is an integer number (1502797856).

Almost surely, 2229372389120 is an apocalyptic number.

229372389120 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 229372389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432805782528).

229372389120 is an abundant number, since it is smaller than the sum of its proper divisors (636239175936).

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

229372389120 is a wasteful number, since it uses less digits than its factorization.

229372389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 229372389120 in words is "two hundred twenty-nine billion, three hundred seventy-two million, three hundred eighty-nine thousand, one hundred twenty".