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90232285440 = 2835112136181
BaseRepresentation
bin101010000001001000…
…0110110100100000000
322121220102222000211210
41110002100312210000
52434243431113230
6105241355010120
76343016525403
oct1240220664400
9277812860753
1090232285440
11352a3855630
12155a2739940
13867cca189b
14451dac5d3a
152531961eb0
hex1502436900

90232285440 has 144 divisors (see below), whose sum is σ = 314377632576. Its totient is φ = 21874483200.

The previous prime is 90232285439. The next prime is 90232285441. The reversal of 90232285440 is 4458223209.

It is an interprime number because it is at equal distance from previous prime (90232285439) and next prime (90232285441).

It is not an unprimeable number, because it can be changed into a prime (90232285441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1025851 + ... + 1110330.

It is an arithmetic number, because the mean of its divisors is an integer number (2183178004).

Almost surely, 290232285440 is an apocalyptic number.

It is an amenable number.

90232285440 is an abundant number, since it is smaller than the sum of its proper divisors (224145347136).

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

90232285440 is a wasteful number, since it uses less digits than its factorization.

90232285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136216 (or 2136202 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 90232285440 in words is "ninety billion, two hundred thirty-two million, two hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 2136181 4272362 6408543 8544724 10680905 12817086 17089448 21361810 23497991 25634172 32042715 34178896 42723620 46995982 51268344 64085430 68357792 70493973 85447240 93991964 102536688 117489955 128170860 136715584 140987946 170894480 187983928 205073376 234979910 256341720 273431168 281975892 341788960 352469865 375967856 410146752 469959820 512683440 546862336 563951784 683577920 704939730 751935712 820293504 939919640 1025366880 1127903568 1367155840 1409879460 1503871424 1640587008 1879839280 2050733760 2255807136 2734311680 2819758920 3007742848 3759678560 4101467520 4511614272 5639517840 6015485696 7519357120 8202935040 9023228544 11279035680 15038714240 18046457088 22558071360 30077428480 45116142720 90232285440