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3022130023224 = 2331347331362207
BaseRepresentation
bin101011111110100100111…
…111001000101100111000
3101200220122102210221020220
4223332210333020230320
5344003310241220344
610232203010420040
7431225125231164
oct53764477105470
911626572727226
103022130023224
11a6575067a774
12409861291620
1318bca75a80c0
14a63b4041ca4
155392c4a7c19
hex2bfa4fc8b38

3022130023224 has 128 divisors (see below), whose sum is σ = 8312262819840. Its totient is φ = 909812017152.

The previous prime is 3022130023223. The next prime is 3022130023247. The reversal of 3022130023224 is 4223200312203.

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

It is a junction number, because it is equal to n+sod(n) for n = 3022130023194 and 3022130023203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3022130023223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48550729 + ... + 48612935.

It is an arithmetic number, because the mean of its divisors is an integer number (64939553280).

Almost surely, 23022130023224 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 3022130023224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156131409920).

3022130023224 is an abundant number, since it is smaller than the sum of its proper divisors (5290132796616).

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

3022130023224 is a wasteful number, since it uses less digits than its factorization.

3022130023224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65589 (or 65585 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3022130023224 its reverse (4223200312203), we get a palindrome (7245330335427).

The spelling of 3022130023224 in words is "three trillion, twenty-two billion, one hundred thirty million, twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 282 312 376 564 611 1128 1222 1833 2444 3313 3666 4888 6626 7332 9939 13252 14664 19878 26504 39756 43069 62207 79512 86138 124414 129207 155711 172276 186621 248828 258414 311422 344552 373242 467133 497656 516828 622844 746484 808691 934266 1033656 1245688 1492968 1617382 1868532 2024243 2426073 2923729 3234764 3737064 4048486 4852146 5847458 6072729 6469528 8096972 8771187 9704292 11694916 12145458 16193944 17542374 19408584 23389832 24290916 35084748 38008477 48581832 70169496 76016954 114025431 152033908 206091791 228050862 304067816 412183582 456101724 618275373 824367164 912203448 1236550746 1648734328 2473101492 2679193283 4946202984 5358386566 8037579849 9686314177 10716773132 16075159698 19372628354 21433546264 29058942531 32150319396 38745256708 58117885062 64300638792 77490513416 116235770124 125922084301 232471540248 251844168602 377766252903 503688337204 755532505806 1007376674408 1511065011612 3022130023224