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221021336628 = 223241320346751
BaseRepresentation
bin1100110111010111100…
…1011111010000110100
3210010111100122020012200
43031311321133100310
512110122430233003
6245311422144500
721653054235501
oct3156571372064
9703440566180
10221021336628
1185809867584
1236a03722130
1317ac44948c1
14a9a9caa4a8
155b38bd86a3
hex3375e5f434

221021336628 has 72 divisors (see below), whose sum is σ = 572510405376. Its totient is φ = 71852880000.

The previous prime is 221021336621. The next prime is 221021336663. The reversal of 221021336628 is 826633120122.

221021336628 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 21 + 3 + 3 + 6 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 221021336592 and 221021336601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221021336621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4704253 + ... + 4751003.

It is an arithmetic number, because the mean of its divisors is an integer number (7951533408).

Almost surely, 2221021336628 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 221021336628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286255202688).

221021336628 is an abundant number, since it is smaller than the sum of its proper divisors (351489068748).

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

221021336628 is a wasteful number, since it uses less digits than its factorization.

221021336628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50005 (or 50000 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 221021336628 in words is "two hundred twenty-one billion, twenty-one million, three hundred thirty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 3203 6406 9609 12812 19218 28827 38436 46751 57654 93502 115308 131323 140253 187004 262646 280506 393969 420759 525292 561012 787938 841518 1181907 1575876 1683036 1916791 2363814 3833582 4727628 5750373 7667164 11500746 17251119 23001492 34502238 69004476 149743453 299486906 449230359 598973812 898460718 1347691077 1796921436 2695382154 5390764308 6139481573 12278963146 18418444719 24557926292 36836889438 55255334157 73673778876 110510668314 221021336628