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172220496 = 24372371979
BaseRepresentation
bin10100100001111…
…10000001010000
3110000001201002220
422100332001100
5323042023441
625031141040
74160564400
oct1220760120
9400051086
10172220496
1189239898
1249814780
13298abc26
1418c30800
15101bd466
hexa43e050

172220496 has 120 divisors (see below), whose sum is σ = 531796320. Its totient is φ = 47851776.

The previous prime is 172220471. The next prime is 172220497. The reversal of 172220496 is 694022271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172220497) 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, 86035 + ... + 88013.

It is an arithmetic number, because the mean of its divisors is an integer number (4431636).

Almost surely, 2172220496 is an apocalyptic number.

172220496 is a gapful number since it is divisible by the number (16) 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 172220496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265898160).

172220496 is an abundant number, since it is smaller than the sum of its proper divisors (359575824).

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

172220496 is a wasteful number, since it uses less digits than its factorization.

172220496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 172220496 is about 13123.2806873891. The cubic root of 172220496 is about 556.3673193439.

The spelling of 172220496 in words is "one hundred seventy-two million, two hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 49 56 74 84 98 111 112 147 148 168 196 222 259 294 296 336 392 444 518 588 592 777 784 888 1036 1176 1554 1776 1813 1979 2072 2352 3108 3626 3958 4144 5439 5937 6216 7252 7916 10878 11874 12432 13853 14504 15832 21756 23748 27706 29008 31664 41559 43512 47496 55412 73223 83118 87024 94992 96971 110824 146446 166236 193942 219669 221648 290913 292892 332472 387884 439338 512561 581826 585784 664944 775768 878676 1025122 1163652 1171568 1537683 1551536 1757352 2050244 2327304 3075366 3514704 3587927 4100488 4654608 6150732 7175854 8200976 10763781 12301464 14351708 21527562 24602928 28703416 43055124 57406832 86110248 172220496