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230202232000 = 26531329127601
BaseRepresentation
bin1101011001100100011…
…1110100110011000000
3211000012012010001000121
43112121013310303000
512232423232411000
6253430424430024
722426424454346
oct3263107646300
9730165101017
10230202232000
11896a0182114
1238746318314
1318928570480
14b1db32d996
155ec4be8b1a
hex35991f4cc0

230202232000 has 448 divisors, whose sum is σ = 641186058240. Its totient is φ = 81285120000.

The previous prime is 230202231989. The next prime is 230202232061. The reversal of 230202232000 is 232202032.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 383031700 + ... + 383032300.

It is an arithmetic number, because the mean of its divisors is an integer number (1431218880).

Almost surely, 2230202232000 is an apocalyptic number.

230202232000 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 230202232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320593029120).

230202232000 is an abundant number, since it is smaller than the sum of its proper divisors (410983826240).

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

230202232000 is a wasteful number, since it uses less digits than its factorization.

230202232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 230202232000 its reverse (232202032), we get a palindrome (230434434032).

The spelling of 230202232000 in words is "two hundred thirty billion, two hundred two million, two hundred thirty-two thousand".