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20294851600 = 24521724192
BaseRepresentation
bin10010111001101010…
…101101110000010000
31221101101100021121101
4102321222231300100
5313030440222400
613153501034144
71315632251362
oct227152556020
957341307541
1020294851600
118674a07431
123b24855954
131bb57c223a
14da7518d32
157dbaae56a
hex4b9aadc10

20294851600 has 135 divisors (see below), whose sum is σ = 51919146487. Its totient is φ = 7622179840.

The previous prime is 20294851597. The next prime is 20294851607. The reversal of 20294851600 is 615849202.

The square root of 20294851600 is 142460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 474716944 + 19820134656 = 21788^2 + 140784^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20294851600.

It is not an unprimeable number, because it can be changed into a prime (20294851607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48436191 + ... + 48436609.

Almost surely, 220294851600 is an apocalyptic number.

20294851600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20294851600 is the 142460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20294851600

20294851600 is an abundant number, since it is smaller than the sum of its proper divisors (31624294887).

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

20294851600 is an equidigital number, since it uses as much as digits as its factorization.

20294851600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 20294851600 in words is "twenty billion, two hundred ninety-four million, eight hundred fifty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 289 340 400 419 425 578 680 838 850 1156 1360 1445 1676 1700 2095 2312 2890 3352 3400 4190 4624 5780 6704 6800 7123 7225 8380 10475 11560 14246 14450 16760 20950 23120 28492 28900 33520 35615 41900 56984 57800 71230 83800 113968 115600 121091 142460 167600 175561 178075 242182 284920 351122 356150 484364 569840 605455 702244 712300 877805 968728 1210910 1404488 1424600 1755610 1937456 2421820 2808976 2849200 2984537 3027275 3511220 4389025 4843640 5969074 6054550 7022440 8778050 9687280 11938148 12109100 14044880 14922685 17556100 23876296 24218200 29845370 35112200 47752592 48436400 50737129 59690740 70224400 74613425 101474258 119381480 149226850 202948516 238762960 253685645 298453700 405897032 507371290 596907400 811794064 1014742580 1193814800 1268428225 2029485160 2536856450 4058970320 5073712900 10147425800 20294851600