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221150064 = 243411031091
BaseRepresentation
bin11010010111001…
…11101101110000
3120102010120212010
431023213231300
5423103300224
633540002520
75323513242
oct1513475560
9512116763
10221150064
11103919353
1262090440
1336a81035
142152a092
1514635e29
hexd2e7b70

221150064 has 80 divisors (see below), whose sum is σ = 591462144. Its totient is φ = 71155200.

The previous prime is 221150057. The next prime is 221150077. The reversal of 221150064 is 460051122.

It is a self number, because there is not a number n which added to its sum of digits gives 221150064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202159 + ... + 203249.

Almost surely, 2221150064 is an apocalyptic number.

221150064 is a gapful number since it is divisible by the number (24) 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 221150064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295731072).

221150064 is an abundant number, since it is smaller than the sum of its proper divisors (370312080).

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

221150064 is a wasteful number, since it uses less digits than its factorization.

221150064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 221150064 is about 14871.1150893267. The cubic root of 221150064 is about 604.7311730557.

The spelling of 221150064 in words is "two hundred twenty-one million, one hundred fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 103 123 164 206 246 309 328 412 492 618 656 824 984 1091 1236 1648 1968 2182 2472 3273 4223 4364 4944 6546 8446 8728 12669 13092 16892 17456 25338 26184 33784 44731 50676 52368 67568 89462 101352 112373 134193 178924 202704 224746 268386 337119 357848 449492 536772 674238 715696 898984 1073544 1348476 1797968 2147088 2696952 4607293 5393904 9214586 13821879 18429172 27643758 36858344 55287516 73716688 110575032 221150064