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23221413040 = 2457314572927
BaseRepresentation
bin10101101000000110…
…101010010010110000
32012221100012000011211
4111220012222102300
5340024140204130
614400123245504
71451306516440
oct255006522260
965840160154
1023221413040
119936978351
124600979894
132260c02ab7
1411a4086120
1590d998a2a
hex5681aa4b0

23221413040 has 160 divisors (see below), whose sum is σ = 63854198784. Its totient is φ = 7685314560.

The previous prime is 23221413013. The next prime is 23221413043. The reversal of 23221413040 is 4031412232.

It is not an unprimeable number, because it can be changed into a prime (23221413043) 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, 7932057 + ... + 7934983.

Almost surely, 223221413040 is an apocalyptic number.

23221413040 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 23221413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31927099392).

23221413040 is an abundant number, since it is smaller than the sum of its proper divisors (40632785744).

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

23221413040 is a wasteful number, since it uses less digits than its factorization.

23221413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 23221413040 its reverse (4031412232), we get a palindrome (27252825272).

The spelling of 23221413040 in words is "twenty-three billion, two hundred twenty-one million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 457 496 560 620 868 914 1085 1240 1736 1828 2170 2285 2480 2927 3199 3472 3656 4340 4570 5854 6398 7312 8680 9140 11708 12796 14167 14635 15995 17360 18280 20489 23416 25592 28334 29270 31990 36560 40978 46832 51184 56668 58540 63980 70835 81956 90737 99169 102445 113336 117080 127960 141670 163912 181474 198338 204890 226672 234160 255920 283340 327824 362948 396676 409780 453685 495845 566680 635159 725896 793352 819560 907370 991690 1133360 1270318 1337639 1451792 1586704 1639120 1814740 1983380 2540636 2675278 3175795 3629480 3966760 5081272 5350556 6351590 6688195 7258960 7933520 9363473 10162544 10701112 12703180 13376390 18726946 21402224 25406360 26752780 37453892 41466809 46817365 50812720 53505560 74907784 82933618 93634730 107011120 149815568 165867236 187269460 207334045 290267663 331734472 374538920 414668090 580535326 663468944 749077840 829336180 1161070652 1451338315 1658672360 2322141304 2902676630 3317344720 4644282608 5805353260 11610706520 23221413040