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224121153100 = 2252131489115783
BaseRepresentation
bin1101000010111010101…
…0010110011001001100
3210102111101111020000011
43100232222112121030
512133000003344400
6250543154043004
722122634240345
oct3205652263114
9712441436004
10224121153100
118705a603579
1237529879464
1318199757230
14abc18570cc
155c6ade78ba
hex342ea9664c

224121153100 has 72 divisors (see below), whose sum is σ = 524110170080. Its totient is φ = 82696135680.

The previous prime is 224121153083. The next prime is 224121153101. The reversal of 224121153100 is 1351121422.

It is a super-2 number, since 2×2241211531002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224121153101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1877809 + ... + 1993591.

Almost surely, 2224121153100 is an apocalyptic number.

224121153100 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 224121153100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262055085040).

224121153100 is an abundant number, since it is smaller than the sum of its proper divisors (299989016980).

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

224121153100 is a wasteful number, since it uses less digits than its factorization.

224121153100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117299 (or 117292 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 224121153100 its reverse (1351121422), we get a palindrome (225472274522).

The spelling of 224121153100 in words is "two hundred twenty-four billion, one hundred twenty-one million, one hundred fifty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1489 2978 5956 7445 14890 19357 29780 37225 38714 74450 77428 96785 115783 148900 193570 231566 387140 463132 483925 578915 967850 1157830 1505179 1935700 2315660 2894575 3010358 5789150 6020716 7525895 11578300 15051790 30103580 37629475 75258950 150517900 172400887 344801774 689603548 862004435 1724008870 2241211531 3448017740 4310022175 4482423062 8620044350 8964846124 11206057655 17240088700 22412115310 44824230620 56030288275 112060576550 224121153100