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352234100020 = 225112421934499
BaseRepresentation
bin1010010000000101100…
…10011101010100110100
31020200011210121020110011
411020002302131110310
521232333412200040
6425451503110004
734306455310255
oct5100262352464
91220153536404
10352234100020
11126421a6a800
12583225a2304
13272a56ac1ba
1413096468b2c
1592682593ea
hex5202c9d534

352234100020 has 72 divisors (see below), whose sum is σ = 813265740000. Its totient is φ = 128051056320.

The previous prime is 352234100011. The next prime is 352234100083. The reversal of 352234100020 is 20001432253.

It is a super-2 number, since 2×3522341000202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 352234099964 and 352234100000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10192731 + ... + 10227229.

It is an arithmetic number, because the mean of its divisors is an integer number (11295357500).

Almost surely, 2352234100020 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 352234100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406632870000).

352234100020 is an abundant number, since it is smaller than the sum of its proper divisors (461031639980).

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

352234100020 is a wasteful number, since it uses less digits than its factorization.

352234100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38749 (or 38736 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 352234100020 its reverse (20001432253), we get a palindrome (372235532273).

It can be divided in two parts, 352234 and 100020, that added together give a palindrome (452254).

The spelling of 352234100020 in words is "three hundred fifty-two billion, two hundred thirty-four million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 4219 8438 16876 21095 34499 42190 46409 68998 84380 92818 137996 172495 185636 232045 344990 379489 464090 510499 689980 758978 928180 1020998 1517956 1897445 2041996 2552495 3794890 4174379 5104990 7589780 8348758 10209980 16697516 20871895 41743790 83487580 145551281 291102562 582205124 727756405 1455512810 1601064091 2911025620 3202128182 6404256364 8005320455 16010640910 17611705001 32021281820 35223410002 70446820004 88058525005 176117050010 352234100020