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201230034432 = 293719795003
BaseRepresentation
bin1011101101101000111…
…1101010011000000000
3201020102001210220112020
42323122033222120000
511244104342100212
6232235510001440
720352445033140
oct2733217523000
9636361726466
10201230034432
1178383121289
1232bbb646280
1315c8c0cb1bb
149a4d5cc920
15537b443d8c
hex2eda3ea600

201230034432 has 160 divisors (see below), whose sum is σ = 615790086912. Its totient is φ = 57201844224.

The previous prime is 201230034431. The next prime is 201230034437. The reversal of 201230034432 is 234430032102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201230034431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2070643 + ... + 2165645.

Almost surely, 2201230034432 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 201230034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307895043456).

201230034432 is an abundant number, since it is smaller than the sum of its proper divisors (414560052480).

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

201230034432 is an equidigital number, since it uses as much as digits as its factorization.

201230034432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95228 (or 95212 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 201230034432 its reverse (234430032102), we get a palindrome (435660066534).

The spelling of 201230034432 in words is "two hundred one billion, two hundred thirty million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 197 224 256 336 384 394 448 512 591 672 768 788 896 1182 1344 1379 1536 1576 1792 2364 2688 2758 3152 3584 4137 4728 5376 5516 6304 8274 9456 10752 11032 12608 16548 18912 22064 25216 33096 37824 44128 50432 66192 75648 88256 95003 100864 132384 151296 176512 190006 264768 285009 302592 353024 380012 529536 570018 665021 706048 760024 1059072 1140036 1330042 1520048 1995063 2118144 2280072 2660084 3040096 3990126 4560144 5320168 6080192 7980252 9120288 10640336 12160384 15960504 18240576 18715591 21280672 24320768 31921008 36481152 37431182 42561344 48641536 56146773 63842016 72962304 74862364 85122688 112293546 127684032 131009137 145924608 149724728 170245376 224587092 255368064 262018274 299449456 340490752 393027411 449174184 510736128 524036548 598898912 786054822 898348368 1021472256 1048073096 1197797824 1572109644 1796696736 2096146192 2395595648 3144219288 3593393472 4192292384 4791191296 6288438576 7186786944 8384584768 9582382592 12576877152 14373573888 16769169536 25153754304 28747147776 33538339072 50307508608 67076678144 100615017216 201230034432