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2002132332320 = 255231567347197
BaseRepresentation
bin11101001000101000011…
…000101110111100100000
321002101212001012120000012
4131020220120232330200
5230300331334113240
64131433352144052
7264435464013251
oct35105030567440
97071761176005
102002132332320
117021105626aa
1228403a098028
13116a53262983
146cc91b54b28
15371302ceb65
hex1d22862ef20

2002132332320 has 96 divisors (see below), whose sum is σ = 4938855441408. Its totient is φ = 765542181888.

The previous prime is 2002132332313. The next prime is 2002132332323. The reversal of 2002132332320 is 232332312002.

It is a super-2 number, since 2×20021323323202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (2002132332323) 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, 5592962 + ... + 5940158.

It is an arithmetic number, because the mean of its divisors is an integer number (51446410848).

Almost surely, 22002132332320 is an apocalyptic number.

2002132332320 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 2002132332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469427720704).

2002132332320 is an abundant number, since it is smaller than the sum of its proper divisors (2936723109088).

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

2002132332320 is a wasteful number, since it uses less digits than its factorization.

2002132332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348802 (or 348794 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 2002132332320 its reverse (232332312002), we get a palindrome (2234464644322).

The spelling of 2002132332320 in words is "two trillion, two billion, one hundred thirty-two million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1567 1840 3134 3680 6268 7835 12536 15670 25072 31340 36041 50144 62680 72082 125360 144164 180205 250720 288328 347197 360410 576656 694394 720820 1153312 1388788 1441640 1735985 2777576 2883280 3471970 5555152 5766560 6943940 7985531 11110304 13887880 15971062 27775760 31942124 39927655 55551520 63884248 79855310 127768496 159710620 255536992 319421240 544057699 638842480 1088115398 1277684960 2176230796 2720288495 4352461592 5440576990 8704923184 10881153980 12513327077 17409846368 21762307960 25026654154 43524615920 50053308308 62566635385 87049231840 100106616616 125133270770 200213233232 250266541540 400426466464 500533083080 1001066166160 2002132332320