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232203050233320 = 2335101186911025021
BaseRepresentation
bin110100110010111111111100…
…010100110010110111101000
31010110011101122211000021000110
4310302333330110302313220
5220413403321324431240
62141504335244534320
766624055023020445
oct6462777424626750
91113141584007013
10232203050233320
1167a94840376871
122206260b8513a0
139c748661a353a
14414a98aaa29cc
151bca202e82c80
hexd32ffc532de8

232203050233320 has 128 divisors (see below), whose sum is σ = 703544596145280. Its totient is φ = 61304396160000.

The previous prime is 232203050233309. The next prime is 232203050233327. The reversal of 232203050233320 is 23332050302232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (232203050233327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226022410 + ... + 227047430.

It is an arithmetic number, because the mean of its divisors is an integer number (5496442157385).

Almost surely, 2232203050233320 is an apocalyptic number.

232203050233320 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 232203050233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351772298072640).

232203050233320 is an abundant number, since it is smaller than the sum of its proper divisors (471341545911960).

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

232203050233320 is a wasteful number, since it uses less digits than its factorization.

232203050233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043827 (or 1043823 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 30.

The spelling of 232203050233320 in words is "two hundred thirty-two trillion, two hundred three billion, fifty million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 12120 18691 37382 56073 74764 93455 112146 149528 186910 224292 280365 373820 448584 560730 747640 1025021 1121460 1887791 2050042 2242920 3075063 3775582 4100084 5125105 5663373 6150126 7551164 8200168 9438955 10250210 11326746 12300252 15102328 15375315 18877910 20500420 22653492 24600504 28316865 30750630 37755820 41000840 45306984 56633730 61501260 75511640 103527121 113267460 123002520 207054242 226534920 310581363 414108484 517635605 621162726 828216968 1035271210 1242325452 1552906815 2070542420 2484650904 3105813630 4141084840 6211627260 12423254520 19158667511 38317335022 57476002533 76634670044 95793337555 114952005066 153269340088 191586675110 229904010132 287380012665 383173350220 459808020264 574760025330 766346700440 1149520050660 1935025418611 2299040101320 3870050837222 5805076255833 7740101674444 9675127093055 11610152511666 15480203348888 19350254186110 23220305023332 29025381279165 38700508372220 46440610046664 58050762558330 77401016744440 116101525116660 232203050233320