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232330122000 = 24325312907229
BaseRepresentation
bin1101100001011111110…
…1000101001100010000
3211012200111010001100100
43120113331011030100
512301303002401000
6254421520452400
722533233311314
oct3302775051420
9735614101310
10232330122000
118a59232a399
123903aa7a100
1318ba7374a92
14b35db99b44
15609b91ea00
hex3617f45310

232330122000 has 120 divisors (see below), whose sum is σ = 811451735640. Its totient is φ = 61954694400.

The previous prime is 232330121941. The next prime is 232330122007. The reversal of 232330122000 is 221033232.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16930173456 + 215399948544 = 130116^2 + 464112^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (232330122007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6435615 + ... + 6471614.

It is an arithmetic number, because the mean of its divisors is an integer number (6762097797).

Almost surely, 2232330122000 is an apocalyptic number.

232330122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232330122000 is an abundant number, since it is smaller than the sum of its proper divisors (579121613640).

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

232330122000 is a wasteful number, since it uses less digits than its factorization.

232330122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12907258 (or 12907239 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232330122000 its reverse (221033232), we get a palindrome (232551155232).

The spelling of 232330122000 in words is "two hundred thirty-two billion, three hundred thirty million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 12907229 25814458 38721687 51628916 64536145 77443374 103257832 116165061 129072290 154886748 193608435 206515664 232330122 258144580 309773496 322680725 387216870 464660244 516289160 580825305 619546992 645361450 774433740 929320488 968042175 1032578320 1161650610 1290722900 1548867480 1613403625 1858640976 1936084350 2323301220 2581445800 2904126525 3097734960 3226807250 3872168700 4646602440 4840210875 5162891600 5808253050 6453614500 7744337400 9293204880 9680421750 11616506100 12907229000 14520632625 15488674800 19360843500 23233012200 25814458000 29041265250 38721687000 46466024400 58082530500 77443374000 116165061000 232330122000