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530226414300 = 2235211612634011
BaseRepresentation
bin1111011011100111111…
…01010000001011011100
31212200121101112122122110
413231303331100023130
532141400430224200
61043325504114020
753210335105242
oct7556375201334
91780541478573
10530226414300
1119495aa95990
1286917905910
133b0003b801b
141b93d768792
15dbd4582b50
hex7b73f502dc

530226414300 has 144 divisors (see below), whose sum is σ = 1701023877504. Its totient is φ = 126432480000.

The previous prime is 530226414229. The next prime is 530226414307. The reversal of 530226414300 is 3414622035.

It is a super-2 number, since 2×5302264143002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530226414307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1115706 + ... + 1518305.

It is an arithmetic number, because the mean of its divisors is an integer number (11812665816).

Almost surely, 2530226414300 is an apocalyptic number.

530226414300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

530226414300 is an abundant number, since it is smaller than the sum of its proper divisors (1170797463204).

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

530226414300 is a wasteful number, since it uses less digits than its factorization.

530226414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634100 (or 2634093 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 530226414300 in words is "five hundred thirty billion, two hundred twenty-six million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 61 66 75 100 110 122 132 150 165 183 220 244 275 300 305 330 366 550 610 660 671 732 825 915 1100 1220 1342 1525 1650 1830 2013 2684 3050 3300 3355 3660 4026 4575 6100 6710 8052 9150 10065 13420 16775 18300 20130 33550 40260 50325 67100 100650 201300 2634011 5268022 7902033 10536044 13170055 15804066 26340110 28974121 31608132 39510165 52680220 57948242 65850275 79020330 86922363 115896484 131700550 144870605 158040660 160674671 173844726 197550825 263401100 289741210 321349342 347689452 395101650 434611815 482024013 579482420 642698684 724353025 790203300 803373355 869223630 964048026 1448706050 1606746710 1738447260 1767421381 1928096052 2173059075 2410120065 2897412100 3213493420 3534842762 4016866775 4346118150 4820240130 5302264143 7069685524 8033733550 8692236300 8837106905 9640480260 10604528286 12050600325 16067467100 17674213810 21209056572 24101200650 26511320715 35348427620 44185534525 48202401300 53022641430 88371069050 106045282860 132556603575 176742138100 265113207150 530226414300