Search a number
-
+
33023021200 = 2452139116971
BaseRepresentation
bin11110110000010100…
…110101000010010000
310011020102122021212021
4132300110311002100
51020112343134300
623100501541224
72246225022511
oct366024650220
9104212567767
1033023021200
11130066a8664
126497414814
133163779c40
141853b24a08
15cd4218d1a
hex7b0535090

33023021200 has 120 divisors (see below), whose sum is σ = 85546774656. Its totient is φ = 12177984000.

The previous prime is 33023021107. The next prime is 33023021221. The reversal of 33023021200 is 212032033.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4733715 + ... + 4740685.

Almost surely, 233023021200 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 33023021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42773387328).

33023021200 is an abundant number, since it is smaller than the sum of its proper divisors (52523753456).

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

33023021200 is a wasteful number, since it uses less digits than its factorization.

33023021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7913 (or 7902 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 33023021200 its reverse (212032033), we get a palindrome (33235053233).

The spelling of 33023021200 in words is "thirty-three billion, twenty-three million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 911 1040 1300 1822 2600 3644 4555 5200 6971 7288 9110 11843 13942 14576 18220 22775 23686 27884 34855 36440 45550 47372 55768 59215 69710 72880 90623 91100 94744 111536 118430 139420 174275 181246 182200 189488 236860 278840 296075 348550 362492 364400 453115 473720 557680 592150 697100 724984 906230 947440 1184300 1394200 1449968 1812460 2265575 2368600 2788400 3624920 4531150 4737200 6350581 7249840 9062300 12701162 18124600 25402324 31752905 36249200 50804648 63505810 82557553 101609296 127011620 158764525 165115106 254023240 317529050 330230212 412787765 508046480 635058100 660460424 825575530 1270116200 1320920848 1651151060 2063938825 2540232400 3302302120 4127877650 6604604240 8255755300 16511510600 33023021200