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2421354300 = 22352191492851
BaseRepresentation
bin1001000001010010…
…1110111100111100
320020202012112122220
42100110232330330
514424331314200
61040134005340
7114001112661
oct22024567474
96222175586
102421354300
111032878362
12576aa6850
132c7854631
1418d81ba68
15e28934a0
hex9052ef3c

2421354300 has 144 divisors (see below), whose sum is σ = 7426608000. Its totient is φ = 607392000.

The previous prime is 2421354283. The next prime is 2421354317. The reversal of 2421354300 is 34531242.

2421354300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2421354283) and next prime (2421354317).

It is a super-2 number, since 2×24213543002 = 11725913292256980000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 847875 + ... + 850725.

Almost surely, 22421354300 is an apocalyptic number.

2421354300 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 2421354300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713304000).

2421354300 is an abundant number, since it is smaller than the sum of its proper divisors (5005253700).

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

2421354300 is a wasteful number, since it uses less digits than its factorization.

2421354300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2421354300 is about 49207.2586109001. The cubic root of 2421354300 is about 1342.8250897197.

Adding to 2421354300 its reverse (34531242), we get a palindrome (2455885542).

The spelling of 2421354300 in words is "two billion, four hundred twenty-one million, three hundred fifty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 149 150 190 228 285 298 300 380 447 475 570 596 745 894 950 1140 1425 1490 1788 1900 2235 2831 2850 2851 2980 3725 4470 5662 5700 5702 7450 8493 8553 8940 11175 11324 11404 14155 14255 14900 16986 17106 22350 28310 28510 33972 34212 42465 42765 44700 54169 56620 57020 70775 71275 84930 85530 108338 141550 142550 162507 169860 171060 212325 213825 216676 270845 283100 285100 325014 424650 424799 427650 541690 650028 812535 849300 849598 855300 1083380 1274397 1354225 1625070 1699196 2123995 2548794 2708450 3250140 4062675 4247990 5097588 5416900 6371985 8071181 8125350 8495980 10619975 12743970 16142362 16250700 21239950 24213543 25487940 31859925 32284724 40355905 42479900 48427086 63719850 80711810 96854172 121067715 127439700 161423620 201779525 242135430 403559050 484270860 605338575 807118100 1210677150 2421354300