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23213302000 = 245372372091
BaseRepresentation
bin10101100111100111…
…101110000011110000
32012220202220220220221
4111213213232003300
5340020101131000
614355233342424
71451150545210
oct254747560360
965822826827
1023213302000
119932338409
1245ba107a14
13225c322c75
1411a2d74240
1590cde561a
hex5679ee0f0

23213302000 has 160 divisors (see below), whose sum is σ = 66938287104. Its totient is φ = 7612704000.

The previous prime is 23213301997. The next prime is 23213302009. The reversal of 23213302000 is 20331232.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23213302009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285955 + ... + 358045.

Almost surely, 223213302000 is an apocalyptic number.

23213302000 is a gapful number since it is divisible by the number (20) 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 23213302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33469143552).

23213302000 is an abundant number, since it is smaller than the sum of its proper divisors (43724985104).

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

23213302000 is a wasteful number, since it uses less digits than its factorization.

23213302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72144 (or 72128 counting only the distinct ones).

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

Adding to 23213302000 its reverse (20331232), we get a palindrome (23233633232).

The spelling of 23213302000 in words is "twenty-three billion, two hundred thirteen million, three hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 125 140 161 175 184 200 230 250 280 322 350 368 400 460 500 560 575 644 700 805 875 920 1000 1150 1288 1400 1610 1750 1840 2000 2300 2576 2800 2875 3220 3500 4025 4600 5750 6440 7000 8050 9200 11500 12880 14000 16100 20125 23000 32200 40250 46000 64400 72091 80500 144182 161000 288364 322000 360455 504637 576728 720910 1009274 1153456 1441820 1658093 1802275 2018548 2523185 2883640 3316186 3604550 4037096 5046370 5767280 6632372 7209100 8074192 8290465 9011375 10092740 11606651 12615925 13264744 14418200 16580930 18022750 20185480 23213302 25231850 26529488 28836400 33161860 36045500 40370960 41452325 46426604 50463700 58033255 63079625 66323720 72091000 82904650 92853208 100927400 116066510 126159250 132647440 144182000 165809300 185706416 201854800 207261625 232133020 252318500 290166275 331618600 414523250 464266040 504637000 580332550 663237200 829046500 928532080 1009274000 1160665100 1450831375 1658093000 2321330200 2901662750 3316186000 4642660400 5803325500 11606651000 23213302000