Search a number
-
+
221257095708 = 22311311092112351
BaseRepresentation
bin1100111000001111110…
…0110101101000011100
3210011002210021000212110
43032003330311220130
512111113304030313
6245351043234020
721661646165655
oct3160374655034
9704083230773
10221257095708
118591a9538a0
1236a6a678910
1317b3128c30c
14a9cd31a52c
155b4e757ec3
hex3383f35a1c

221257095708 has 192 divisors, whose sum is σ = 589732577280. Its totient is φ = 63957600000.

The previous prime is 221257095671. The next prime is 221257095781. The reversal of 221257095708 is 807590752122.

It is a super-2 number, since 2×2212570957082 (a number of 23 digits) contains 22 as substring.

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, 94110733 + ... + 94113083.

It is an arithmetic number, because the mean of its divisors is an integer number (3071523840).

Almost surely, 2221257095708 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 221257095708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294866288640).

221257095708 is an abundant number, since it is smaller than the sum of its proper divisors (368475481572).

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

221257095708 is a wasteful number, since it uses less digits than its factorization.

221257095708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 221257095708 in words is "two hundred twenty-one billion, two hundred fifty-seven million, ninety-five thousand, seven hundred eight".