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223130001019356 = 223315123327586541
BaseRepresentation
bin110010101110111110000000…
…011100110001000111011100
31002021001000112102012212121000
4302232332000130301013130
5213221230220230104411
62110320301332110300
764666416301124664
oct6256760034610734
91067030472185530
10223130001019356
11651069a1652032
1221038109a65390
1397670b82432b2
143d1579a42b1a4
151abe1cb62e956
hexcaef807311dc

223130001019356 has 96 divisors (see below), whose sum is σ = 582342171586560. Its totient is φ = 73880813016000.

The previous prime is 223130001019301. The next prime is 223130001019357. The reversal of 223130001019356 is 653910100031322.

223130001019356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231300010193563 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 223130001019356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223130001019357) 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, 380123446 + ... + 380709986.

It is an arithmetic number, because the mean of its divisors is an integer number (6066064287360).

Almost surely, 2223130001019356 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 223130001019356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291171085793280).

223130001019356 is an abundant number, since it is smaller than the sum of its proper divisors (359212170567204).

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

223130001019356 is a wasteful number, since it uses less digits than its factorization.

223130001019356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610032 (or 610024 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 223130001019356 in words is "two hundred twenty-three trillion, one hundred thirty billion, one million, nineteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 302 453 604 906 1359 1812 2718 4077 5436 8154 16308 23327 46654 69981 93308 139962 209943 279924 419886 586541 629829 839772 1173082 1259658 1759623 2346164 2519316 3519246 3522377 5278869 7038492 7044754 10557738 10567131 14089508 15836607 21115476 21134262 31673214 31701393 42268524 63346428 63402786 88567691 95104179 126805572 177135382 190208358 265703073 354270764 380416716 531406146 797109219 1062812292 1594218438 2391327657 3188436876 4782655314 9565310628 13682241907 27364483814 41046725721 54728967628 82093451442 123140177163 164186902884 246280354326 369420531489 492560708652 738841062978 1477682125956 2066018527957 4132037055914 6198055583871 8264074111828 12396111167742 18594166751613 24792222335484 37188333503226 55782500254839 74376667006452 111565000509678 223130001019356