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221023010988 = 22361319231521
BaseRepresentation
bin1100110111010111111…
…1111000000010101100
3210010111110210022000000
43031311333320002230
512110123342322423
6245311522104300
721653104411143
oct3156577700254
9703443708000
10221023010988
118580a80054a
1236a041ab090
1317ac492ca50
14a9aa1c475a
155b38e19843
hex3375ff80ac

221023010988 has 504 divisors, whose sum is σ = 681697489536. Its totient is φ = 62229772800.

The previous prime is 221023010987. The next prime is 221023011029. The reversal of 221023010988 is 889010320122.

It is a super-2 number, since 2×2210230109882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (221023010987) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 424228168 + ... + 424228688.

It is an arithmetic number, because the mean of its divisors is an integer number (1352574384).

Almost surely, 2221023010988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221023010988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340848744768).

221023010988 is an abundant number, since it is smaller than the sum of its proper divisors (460674478548).

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

221023010988 is a wasteful number, since it uses less digits than its factorization.

221023010988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 221023010988 in words is "two hundred twenty-one billion, twenty-three million, ten thousand, nine hundred eighty-eight".