Search a number
-
+
221111232000 = 2935359131149
BaseRepresentation
bin1100110111101101000…
…0011010011000000000
3210010201121210101110220
43031323100122120000
512110313433411000
6245324353023040
721655225314231
oct3157320323000
9703647711426
10221111232000
118585558727a
1236a29854a80
1317b09cab029
14a9b7bcb088
155b41a441a0
hex337b41a600

221111232000 has 640 divisors, whose sum is σ = 758362176000. Its totient is φ = 57135104000.

The previous prime is 221111231983. The next prime is 221111232101. The reversal of 221111232000 is 232111122.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1483967926 + ... + 1483968074.

It is an arithmetic number, because the mean of its divisors is an integer number (1184940900).

Almost surely, 2221111232000 is an apocalyptic number.

221111232000 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 221111232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379181088000).

221111232000 is an abundant number, since it is smaller than the sum of its proper divisors (537250944000).

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

221111232000 is a wasteful number, since it uses less digits than its factorization.

221111232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 221111232000 its reverse (232111122), we get a palindrome (221343343122).

The spelling of 221111232000 in words is "two hundred twenty-one billion, one hundred eleven million, two hundred thirty-two thousand".