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232016455000 = 23541137114013
BaseRepresentation
bin1101100000010101000…
…0100010010101011000
3211011212121220010010001
43120011100202111120
512300132203030000
6254330433502344
722522404220261
oct3300520422530
9734777803101
10232016455000
118a441270770
1238b71a119b4
1318b573a02c5
14b330269968
15607e11146a
hex3605422558

232016455000 has 160 divisors (see below), whose sum is σ = 609067348560. Its totient is φ = 82088640000.

The previous prime is 232016454979. The next prime is 232016455001. The reversal of 232016455000 is 554610232.

It is a self number, because there is not a number n which added to its sum of digits gives 232016455000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232016455001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1977994 + ... + 2092006.

Almost surely, 2232016455000 is an apocalyptic number.

232016455000 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 232016455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304533674280).

232016455000 is an abundant number, since it is smaller than the sum of its proper divisors (377050893560).

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

232016455000 is a wasteful number, since it uses less digits than its factorization.

232016455000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114087 (or 114068 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 232016455000 in words is "two hundred thirty-two billion, sixteen million, four hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 37 40 44 50 55 74 88 100 110 125 148 185 200 220 250 275 296 370 407 440 500 550 625 740 814 925 1000 1100 1250 1375 1480 1628 1850 2035 2200 2500 2750 3256 3700 4070 4625 5000 5500 6875 7400 8140 9250 10175 11000 13750 16280 18500 20350 23125 27500 37000 40700 46250 50875 55000 81400 92500 101750 114013 185000 203500 228026 254375 407000 456052 508750 570065 912104 1017500 1140130 1254143 2035000 2280260 2508286 2850325 4218481 4560520 5016572 5700650 6270715 8436962 10033144 11401300 12541430 14251625 16873924 21092405 22802600 25082860 28503250 31353575 33747848 42184810 46403291 50165720 57006500 62707150 71258125 84369620 92806582 105462025 114013000 125414300 142516250 156767875 168739240 185613164 210924050 232016455 250828600 285032500 313535750 371226328 421848100 464032910 527310125 570065000 627071500 783839375 843696200 928065820 1054620250 1160082275 1254143000 1567678750 1856131640 2109240500 2320164550 2636550625 3135357500 4218481000 4640329100 5273101250 5800411375 6270715000 9280658200 10546202500 11600822750 21092405000 23201645500 29002056875 46403291000 58004113750 116008227500 232016455000