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450226365624440 = 235229120414081999
BaseRepresentation
bin110011001011110100111111…
…0100101110111000001111000
32012001010012221112021120010222
41212113221332211313001320
5433003002044044440230
64233315045333155212
7163555532023413266
oct14627517645670170
92161105845246128
10450226365624440
11120501a25021849
12425b4a76a8bb08
131642b2196ca3b2
147d27102801436
15370b64ac396e5
hex1997a7e977078

450226365624440 has 64 divisors (see below), whose sum is σ = 1017517690800000. Its totient is φ = 179289189596160.

The previous prime is 450226365624439. The next prime is 450226365624443. The reversal of 450226365624440 is 44426563622054.

It is a super-2 number, since 2×4502263656244402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450226365624443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108254561 + ... + 112336559.

It is an arithmetic number, because the mean of its divisors is an integer number (15898713918750).

Almost surely, 2450226365624440 is an apocalyptic number.

450226365624440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450226365624440 is an abundant number, since it is smaller than the sum of its proper divisors (567291325175560).

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

450226365624440 is a wasteful number, since it uses less digits than its factorization.

450226365624440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094280 (or 4094276 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 53.

The spelling of 450226365624440 in words is "four hundred fifty trillion, two hundred twenty-six billion, three hundred sixty-five million, six hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 229 458 916 1145 1832 2290 4580 9160 12041 24082 48164 60205 96328 120410 240820 481640 2757389 4081999 5514778 8163998 11029556 13786945 16327996 20409995 22059112 27573890 32655992 40819990 55147780 81639980 110295560 163279960 934777771 1869555542 3739111084 4673888855 7478222168 9347777710 18695555420 37391110840 49151349959 98302699918 196605399836 245756749795 393210799672 491513499590 983026999180 1966053998360 11255659140611 22511318281222 45022636562444 56278295703055 90045273124888 112556591406110 225113182812220 450226365624440