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88330000 = 245411273
BaseRepresentation
bin1010100001111…
…00111100010000
320011012121222111
411100330330100
5140103030000
612433115104
72121535603
oct520747420
9204177874
1088330000
1145950700
12256b8a94
13153b8a95
14ba3433a
157b4bcba
hex543cf10

88330000 has 150 divisors (see below), whose sum is σ = 238284662. Its totient is φ = 31680000.

The previous prime is 88329971. The next prime is 88330001. The reversal of 88330000 is 3388.

It can be written as a sum of positive squares in 5 ways, for example, as 31719424 + 56610576 = 5632^2 + 7524^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (88330001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1209964 + ... + 1210036.

Almost surely, 288330000 is an apocalyptic number.

88330000 is a gapful number since it is divisible by the number (80) 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 88330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119142331).

88330000 is an abundant number, since it is smaller than the sum of its proper divisors (149954662).

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

88330000 is a wasteful number, since it uses less digits than its factorization.

88330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 88330000 is about 9398.4041198493. The cubic root of 88330000 is about 445.3513195870.

Adding to 88330000 its reverse (3388), we get a palindrome (88333388).

The spelling of 88330000 in words is "eighty-eight million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 73 80 88 100 110 121 125 146 176 200 220 242 250 275 292 365 400 440 484 500 550 584 605 625 730 803 880 968 1000 1100 1168 1210 1250 1375 1460 1606 1825 1936 2000 2200 2420 2500 2750 2920 3025 3212 3650 4015 4400 4840 5000 5500 5840 6050 6424 6875 7300 8030 8833 9125 9680 10000 11000 12100 12848 13750 14600 15125 16060 17666 18250 20075 22000 24200 27500 29200 30250 32120 35332 36500 40150 44165 45625 48400 55000 60500 64240 70664 73000 75625 80300 88330 91250 100375 110000 121000 141328 146000 151250 160600 176660 182500 200750 220825 242000 302500 321200 353320 365000 401500 441650 501875 605000 706640 730000 803000 883300 1003750 1104125 1210000 1606000 1766600 2007500 2208250 3533200 4015000 4416500 5520625 8030000 8833000 11041250 17666000 22082500 44165000 88330000