Search a number
-
+
221544150655752 = 23332970435021701
BaseRepresentation
bin110010010111111001000100…
…011001101110001100001000
31002001102102011202222101202000
4302113321010121232030020
5213014234410031441002
62103103551111111000
764444015403343111
oct6227710431561410
91061372152871660
10221544150655752
116465538a445921
1220a208a7972460
1396806a692b692
143c9cb19049208
151a92d1238a61c
hexc97e4466e308

221544150655752 has 128 divisors (see below), whose sum is σ = 636711639984000. Its totient is φ = 71291427782400.

The previous prime is 221544150655721. The next prime is 221544150655777. The reversal of 221544150655752 is 257556051445122.

221544150655752 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 4 + 4 + 1 + 5 + 0 + 65 + 575 + 2 = 666.

It is a super-2 number, since 2×2215441506557522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41606502 + ... + 46628202.

It is an arithmetic number, because the mean of its divisors is an integer number (4974309687375).

Almost surely, 2221544150655752 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 221544150655752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318355819992000).

221544150655752 is an abundant number, since it is smaller than the sum of its proper divisors (415167489328248).

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

221544150655752 is a wasteful number, since it uses less digits than its factorization.

221544150655752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028788 (or 5028778 counting only the distinct ones).

The product of its (nonzero) digits is 16800000, while the sum is 54.

The spelling of 221544150655752 in words is "two hundred twenty-one trillion, five hundred forty-four billion, one hundred fifty million, six hundred fifty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 7043 14086 21129 28172 42258 56344 63387 84516 126774 169032 190161 204247 253548 380322 408494 507096 612741 760644 816988 1225482 1521288 1633976 1838223 2450964 3676446 4901928 5021701 5514669 7352892 10043402 11029338 14705784 15065103 20086804 22058676 30130206 40173608 44117352 45195309 60260412 90390618 120520824 135585927 145629329 180781236 271171854 291258658 361562472 436887987 542343708 582517316 873775974 1084687416 1165034632 1310663961 1747551948 2621327922 3495103896 3931991883 5242655844 7863983766 10485311688 15727967532 31455935064 35367840143 70735680286 106103520429 141471360572 212207040858 282942721144 318310561287 424414081716 636621122574 848828163432 954931683861 1025667364147 1273242245148 1909863367722 2051334728294 2546484490296 3077002092441 3819726735444 4102669456588 6154004184882 7639453470888 8205338913176 9231006277323 12308008369764 18462012554646 24616016739528 27693018831969 36924025109292 55386037663938 73848050218584 110772075327876 221544150655752