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23219802228249 = 321121460212
BaseRepresentation
bin1010100011110010010000…
…00100000100011000011001
310001012210100221101220000100
411101321020010010120121
511020413123332300444
6121215010242130013
74614401226262614
oct521711004043031
9101183327356010
1023219802228249
117442510023100
1227301a0950909
13cc5805853713
145a3bb715917b
152a4001250e69
hex151e48104619

23219802228249 has 27 divisors (see below), whose sum is σ = 36866219462527. Its totient is φ = 14072511037200.

The previous prime is 23219802228241. The next prime is 23219802228281. The reversal of 23219802228249 is 94282220891232.

The square root of 23219802228249 is 4818693.

It is a perfect power (a square), and thus also a powerful number.

23219802228249 is a `hidden beast` number, since 2 + 321 + 98 + 0 + 2 + 228 + 2 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 481209978249 + 22738592250000 = 693693^2 + 4768500^2 .

It is not a de Polignac number, because 23219802228249 - 23 = 23219802228241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23219802228195 and 23219802228204.

It is not an unprimeable number, because it can be changed into a prime (23219802228241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 158943859 + ... + 159089879.

Almost surely, 223219802228249 is an apocalyptic number.

23219802228249 is the 4818693-rd square number.

23219802228249 is the 2409347-th centered octagonal number.

It is an amenable number.

23219802228249 is a deficient number, since it is larger than the sum of its proper divisors (13646417234278).

23219802228249 is an frugal number, since it uses more digits than its factorization.

23219802228249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292070 (or 146035 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 23219802228249 in words is "twenty-three trillion, two hundred nineteen billion, eight hundred two million, two hundred twenty-eight thousand, two hundred forty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 146021 438063 1314189 1606231 4818693 14456079 17668541 53005623 159016869 21322132441 63966397323 191899191969 234543456851 703630370553 2110891111659 2579978025361 7739934076083 23219802228249