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224130122032124 = 227116765316632653
BaseRepresentation
bin110010111101100001011100…
…010011101010001111111100
31002101120122000120100101101102
4302331201130103222033330
5213334121442220011444
62112403542344232232
765131603235353640
oct6275413423521774
91071518016311342
10224130122032124
1165462061910680
1221179b0446b678
13980a4c25cba09
143d4bd54974c20
151ada2137eb84e
hexcbd85c4ea3fc

224130122032124 has 96 divisors (see below), whose sum is σ = 497069925198336. Its totient is φ = 85888353703680.

The previous prime is 224130122032109. The next prime is 224130122032177. The reversal of 224130122032124 is 421230221031422.

It is a congruent number.

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, 5158982 + ... + 21791634.

It is an arithmetic number, because the mean of its divisors is an integer number (5177811720816).

Almost surely, 2224130122032124 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 224130122032124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248534962599168).

224130122032124 is an abundant number, since it is smaller than the sum of its proper divisors (272939803166212).

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

224130122032124 is a wasteful number, since it uses less digits than its factorization.

224130122032124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16633395 (or 16633393 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 224130122032124 its reverse (421230221031422), we get a palindrome (645360343063546).

The spelling of 224130122032124 in words is "two hundred twenty-four trillion, one hundred thirty billion, one hundred twenty-two million, thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 67 77 134 154 268 308 469 653 737 938 1306 1474 1876 2612 2948 4571 5159 7183 9142 10318 14366 18284 20636 28732 43751 50281 87502 100562 175004 201124 306257 481261 612514 962522 1225028 1925044 3368827 6737654 13475308 16632653 33265306 66530612 116428571 182959183 232857142 365918366 465714284 731836732 1114387751 1280714281 2228775502 2561428562 4457551004 5122857124 7800714257 10861122409 12258265261 15601428514 21722244818 24516530522 31202857028 43444489636 49033061044 76027856863 85807856827 119472346499 152055713726 171615713654 238944692998 304111427452 343231427308 477889385996 727695201403 836306425493 1455390402806 1672612850986 2910780805612 3345225701972 5093866409821 8004647215433 10187732819642 16009294430866 20375465639284 32018588861732 56032530508031 112065061016062 224130122032124