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221173612041400 = 235223392912237521
BaseRepresentation
bin110010010010011111111110…
…100101000101010010111000
31002000002222202022012111010121
4302102133332211011102320
5212442202024140311100
62102221431002423024
764405160201156524
oct6222377645052270
91060088668174117
10221173612041400
1164522225016627
1220980b17201a74
139654774c00415
143c88c07966d84
151a8837717651a
hexc927fe9454b8

221173612041400 has 96 divisors (see below), whose sum is σ = 536723029893600. Its totient is φ = 84601402265600.

The previous prime is 221173612041373. The next prime is 221173612041449. The reversal of 221173612041400 is 4140216371122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11954640 + ... + 24192160.

It is an arithmetic number, because the mean of its divisors is an integer number (5590864894725).

Almost surely, 2221173612041400 is an apocalyptic number.

221173612041400 is a gapful number since it is divisible by the number (20) 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 221173612041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268361514946800).

221173612041400 is an abundant number, since it is smaller than the sum of its proper divisors (315549417852200).

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

221173612041400 is a wasteful number, since it uses less digits than its factorization.

221173612041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12241489 (or 12241480 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 221173612041400 in words is "two hundred twenty-one trillion, one hundred seventy-three billion, six hundred twelve million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 3929 4600 7858 15716 19645 31432 39290 78580 90367 98225 157160 180734 196450 361468 392900 451835 722936 785800 903670 1807340 2259175 3614680 4518350 9036700 12237521 18073400 24475042 48950084 61187605 97900168 122375210 244750420 281462983 305938025 489500840 562925966 611876050 1125851932 1223752100 1407314915 2251703864 2447504200 2814629830 5629259660 7036574575 11258519320 14073149150 28146298300 48081220009 56292596600 96162440018 192324880036 240406100045 384649760072 480812200090 961624400180 1105868060207 1202030500225 1923248800360 2211736120414 2404061000450 4423472240828 4808122000900 5529340301035 8846944481656 9616244001800 11058680602070 22117361204140 27646701505175 44234722408280 55293403010350 110586806020700 221173612041400