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2323020203232 = 2531011042922973
BaseRepresentation
bin100001110011011110110…
…010110100010011100000
322020002010021100100220220
4201303132302310103200
5301030021133000412
64535103013003040
7326555414633511
oct41633662642340
98202107310826
102323020203232
11816207386533
12316272923480
1313b0a16a6bc1
148061305ca08
154066163c68c
hex21cdecb44e0

2323020203232 has 96 divisors (see below), whose sum is σ = 6159162149280. Its totient is φ = 766566451200.

The previous prime is 2323020203221. The next prime is 2323020203243.

2323020203232 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2323020203221) and next prime (2323020203243).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101108098 + ... + 101131070.

It is an arithmetic number, because the mean of its divisors is an integer number (64157939055).

Almost surely, 22323020203232 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 2323020203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079581074640).

2323020203232 is an abundant number, since it is smaller than the sum of its proper divisors (3836141946048).

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

2323020203232 is a wasteful number, since it uses less digits than its factorization.

2323020203232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33516 (or 33508 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

It can be divided in two parts, 2323020 and 203232, that added together give a palindrome (2526252).

The spelling of 2323020203232 in words is "two trillion, three hundred twenty-three billion, twenty million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 10429 20858 22973 31287 41716 45946 62574 68919 83432 91892 125148 137838 166864 183784 250296 275676 333728 367568 500592 551352 735136 1001184 1053329 1102704 2106658 2205408 2320273 3159987 4213316 4640546 6319974 6960819 8426632 9281092 12639948 13921638 16853264 18562184 25279896 27843276 33706528 37124368 50559792 55686552 74248736 101119584 111373104 222746208 239585417 479170834 718756251 958341668 1437512502 1916683336 2875025004 3833366672 5750050008 7666733344 11500100016 23000200032 24198127117 48396254234 72594381351 96792508468 145188762702 193585016936 290377525404 387170033872 580755050808 774340067744 1161510101616 2323020203232